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Finding the Fourth Proportional to 489.26, 734.36 and 457.13

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Solution

The fourth proportional to 489.26, 734.36 and 457.13 is: 686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.26 : 734.36 = 457.13 : x
  2. Step 2: Convert to fraction form
    489.26/734.36 = 457.13/x
  3. Step 3: Cross multiply
    489.26x = 734.36 × 457.13
  4. Step 4: Simplify right side
    489.26x = 335,692.03
  5. Step 5: Solve for x
    x = 335,692.03/489.26
  6. Step 6: Final answer
    x = 686.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.