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Finding the Fourth Proportional to 624.76, 862.30 and 362.82

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Solution

The fourth proportional to 624.76, 862.30 and 362.82 is: 500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.76 : 862.30 = 362.82 : x
  2. Step 2: Convert to fraction form
    624.76/862.30 = 362.82/x
  3. Step 3: Cross multiply
    624.76x = 862.30 × 362.82
  4. Step 4: Simplify right side
    624.76x = 312,859.69
  5. Step 5: Solve for x
    x = 312,859.69/624.76
  6. Step 6: Final answer
    x = 500.77

Related Problems

Find fourth proportional to 312.38, 431.15 and 181.41
Half scale
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Double scale
Find fourth proportional to 625.76, 863.68 and 363.82
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.