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Finding the Fourth Proportional to 598.76, 826.27 and 362.73

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Solution

The fourth proportional to 598.76, 826.27 and 362.73 is: 500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.76 : 826.27 = 362.73 : x
  2. Step 2: Convert to fraction form
    598.76/826.27 = 362.73/x
  3. Step 3: Cross multiply
    598.76x = 826.27 × 362.73
  4. Step 4: Simplify right side
    598.76x = 299,712.92
  5. Step 5: Solve for x
    x = 299,712.92/598.76
  6. Step 6: Final answer
    x = 500.56

Related Problems

Find fourth proportional to 299.38, 413.14 and 181.37
Half scale
Find fourth proportional to 1,197.52, 1,652.54 and 725.46
Double scale
Find fourth proportional to 599.76, 827.65 and 363.73
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.