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Finding the Fourth Proportional to 732.21, 1,010.46 and 413.17

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Solution

The fourth proportional to 732.21, 1,010.46 and 413.17 is: 570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.21 : 1,010.46 = 413.17 : x
  2. Step 2: Convert to fraction form
    732.21/1,010.46 = 413.17/x
  3. Step 3: Cross multiply
    732.21x = 1,010.46 × 413.17
  4. Step 4: Simplify right side
    732.21x = 417,491.76
  5. Step 5: Solve for x
    x = 417,491.76/732.21
  6. Step 6: Final answer
    x = 570.18

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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.