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Finding the Fourth Proportional to 501.92, 752.07 and 410.66

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Solution

The fourth proportional to 501.92, 752.07 and 410.66 is: 615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.92 : 752.07 = 410.66 : x
  2. Step 2: Convert to fraction form
    501.92/752.07 = 410.66/x
  3. Step 3: Cross multiply
    501.92x = 752.07 × 410.66
  4. Step 4: Simplify right side
    501.92x = 308,845.07
  5. Step 5: Solve for x
    x = 308,845.07/501.92
  6. Step 6: Final answer
    x = 615.33

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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.