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Finding the Fourth Proportional to 598.76, 827.07 and 441.71

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Solution

The fourth proportional to 598.76, 827.07 and 441.71 is: 610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.76 : 827.07 = 441.71 : x
  2. Step 2: Convert to fraction form
    598.76/827.07 = 441.71/x
  3. Step 3: Cross multiply
    598.76x = 827.07 × 441.71
  4. Step 4: Simplify right side
    598.76x = 365,325.09
  5. Step 5: Solve for x
    x = 365,325.09/598.76
  6. Step 6: Final answer
    x = 610.14

Related Problems

Find fourth proportional to 299.38, 413.54 and 220.86
Half scale
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Double scale
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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.