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Finding the Fourth Proportional to 501.57, 753.37 and 409.17

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Solution

The fourth proportional to 501.57, 753.37 and 409.17 is: 614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.57 : 753.37 = 409.17 : x
  2. Step 2: Convert to fraction form
    501.57/753.37 = 409.17/x
  3. Step 3: Cross multiply
    501.57x = 753.37 × 409.17
  4. Step 4: Simplify right side
    501.57x = 308,260.89
  5. Step 5: Solve for x
    x = 308,260.89/501.57
  6. Step 6: Final answer
    x = 614.60

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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.