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Finding the Fourth Proportional to 731.23, 1,009.12 and 416.49

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Solution

The fourth proportional to 731.23, 1,009.12 and 416.49 is: 574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.23 : 1,009.12 = 416.49 : x
  2. Step 2: Convert to fraction form
    731.23/1,009.12 = 416.49/x
  3. Step 3: Cross multiply
    731.23x = 1,009.12 × 416.49
  4. Step 4: Simplify right side
    731.23x = 420,288.39
  5. Step 5: Solve for x
    x = 420,288.39/731.23
  6. Step 6: Final answer
    x = 574.77

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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.