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Finding the Fourth Proportional to 732.11, 1,010.09 and 417.29

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Solution

The fourth proportional to 732.11, 1,010.09 and 417.29 is: 575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.11 : 1,010.09 = 417.29 : x
  2. Step 2: Convert to fraction form
    732.11/1,010.09 = 417.29/x
  3. Step 3: Cross multiply
    732.11x = 1,010.09 × 417.29
  4. Step 4: Simplify right side
    732.11x = 421,496.45
  5. Step 5: Solve for x
    x = 421,496.45/732.11
  6. Step 6: Final answer
    x = 575.73

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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.