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Finding the Fourth Proportional to 731.50, 1,009.29 and 416.77

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Solution

The fourth proportional to 731.50, 1,009.29 and 416.77 is: 575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.50 : 1,009.29 = 416.77 : x
  2. Step 2: Convert to fraction form
    731.50/1,009.29 = 416.77/x
  3. Step 3: Cross multiply
    731.50x = 1,009.29 × 416.77
  4. Step 4: Simplify right side
    731.50x = 420,640.83
  5. Step 5: Solve for x
    x = 420,640.83/731.50
  6. Step 6: Final answer
    x = 575.04

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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.