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Finding the Fourth Proportional to 497.16, 686.70 and 454.22

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Solution

The fourth proportional to 497.16, 686.70 and 454.22 is: 627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.16 : 686.70 = 454.22 : x
  2. Step 2: Convert to fraction form
    497.16/686.70 = 454.22/x
  3. Step 3: Cross multiply
    497.16x = 686.70 × 454.22
  4. Step 4: Simplify right side
    497.16x = 311,912.87
  5. Step 5: Solve for x
    x = 311,912.87/497.16
  6. Step 6: Final answer
    x = 627.39

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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.