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Finding the Fourth Proportional to 507.92, 762.14 and 288.41

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Solution

The fourth proportional to 507.92, 762.14 and 288.41 is: 432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.92 : 762.14 = 288.41 : x
  2. Step 2: Convert to fraction form
    507.92/762.14 = 288.41/x
  3. Step 3: Cross multiply
    507.92x = 762.14 × 288.41
  4. Step 4: Simplify right side
    507.92x = 219,805.71
  5. Step 5: Solve for x
    x = 219,805.71/507.92
  6. Step 6: Final answer
    x = 432.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.