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Finding the Fourth Proportional to 731.38, 1,009.16 and 416.58

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Solution

The fourth proportional to 731.38, 1,009.16 and 416.58 is: 574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.38 : 1,009.16 = 416.58 : x
  2. Step 2: Convert to fraction form
    731.38/1,009.16 = 416.58/x
  3. Step 3: Cross multiply
    731.38x = 1,009.16 × 416.58
  4. Step 4: Simplify right side
    731.38x = 420,388.74
  5. Step 5: Solve for x
    x = 420,388.74/731.38
  6. Step 6: Final answer
    x = 574.79

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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.