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Finding the Fourth Proportional to 497.26, 686.91 and 472.96

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Solution

The fourth proportional to 497.26, 686.91 and 472.96 is: 653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.26 : 686.91 = 472.96 : x
  2. Step 2: Convert to fraction form
    497.26/686.91 = 472.96/x
  3. Step 3: Cross multiply
    497.26x = 686.91 × 472.96
  4. Step 4: Simplify right side
    497.26x = 324,880.95
  5. Step 5: Solve for x
    x = 324,880.95/497.26
  6. Step 6: Final answer
    x = 653.34

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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.