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Finding the Fourth Proportional to 717.26, 989.24 and 496.16

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Solution

The fourth proportional to 717.26, 989.24 and 496.16 is: 684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.26 : 989.24 = 496.16 : x
  2. Step 2: Convert to fraction form
    717.26/989.24 = 496.16/x
  3. Step 3: Cross multiply
    717.26x = 989.24 × 496.16
  4. Step 4: Simplify right side
    717.26x = 490,821.32
  5. Step 5: Solve for x
    x = 490,821.32/717.26
  6. Step 6: Final answer
    x = 684.30

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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.