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Finding the Fourth Proportional to 732.25, 1,010.19 and 470.22

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Solution

The fourth proportional to 732.25, 1,010.19 and 470.22 is: 648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.25 : 1,010.19 = 470.22 : x
  2. Step 2: Convert to fraction form
    732.25/1,010.19 = 470.22/x
  3. Step 3: Cross multiply
    732.25x = 1,010.19 × 470.22
  4. Step 4: Simplify right side
    732.25x = 475,006.87
  5. Step 5: Solve for x
    x = 475,006.87/732.25
  6. Step 6: Final answer
    x = 648.69

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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.