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Finding the Fourth Proportional to 497.42, 686.54 and 329.38

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Solution

The fourth proportional to 497.42, 686.54 and 329.38 is: 454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.42 : 686.54 = 329.38 : x
  2. Step 2: Convert to fraction form
    497.42/686.54 = 329.38/x
  3. Step 3: Cross multiply
    497.42x = 686.54 × 329.38
  4. Step 4: Simplify right side
    497.42x = 226,130.01
  5. Step 5: Solve for x
    x = 226,130.01/497.42
  6. Step 6: Final answer
    x = 454.60

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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.