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Finding the Fourth Proportional to 507.71, 700.96 and 414.68

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Solution

The fourth proportional to 507.71, 700.96 and 414.68 is: 572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.71 : 700.96 = 414.68 : x
  2. Step 2: Convert to fraction form
    507.71/700.96 = 414.68/x
  3. Step 3: Cross multiply
    507.71x = 700.96 × 414.68
  4. Step 4: Simplify right side
    507.71x = 290,670.59
  5. Step 5: Solve for x
    x = 290,670.59/507.71
  6. Step 6: Final answer
    x = 572.52

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