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Finding the Fourth Proportional to 731.47, 1,009.42 and 412.41

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Solution

The fourth proportional to 731.47, 1,009.42 and 412.41 is: 569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.47 : 1,009.42 = 412.41 : x
  2. Step 2: Convert to fraction form
    731.47/1,009.42 = 412.41/x
  3. Step 3: Cross multiply
    731.47x = 1,009.42 × 412.41
  4. Step 4: Simplify right side
    731.47x = 416,292.84
  5. Step 5: Solve for x
    x = 416,292.84/731.47
  6. Step 6: Final answer
    x = 569.12

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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.