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Finding the Fourth Proportional to 497.85, 686.16 and 431.33

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Solution

The fourth proportional to 497.85, 686.16 and 431.33 is: 594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.85 : 686.16 = 431.33 : x
  2. Step 2: Convert to fraction form
    497.85/686.16 = 431.33/x
  3. Step 3: Cross multiply
    497.85x = 686.16 × 431.33
  4. Step 4: Simplify right side
    497.85x = 295,957.96
  5. Step 5: Solve for x
    x = 295,957.96/497.85
  6. Step 6: Final answer
    x = 594.47

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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.