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Finding the Fourth Proportional to 497.52, 686.34 and 329.40

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Solution

The fourth proportional to 497.52, 686.34 and 329.40 is: 454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.52 : 686.34 = 329.40 : x
  2. Step 2: Convert to fraction form
    497.52/686.34 = 329.40/x
  3. Step 3: Cross multiply
    497.52x = 686.34 × 329.40
  4. Step 4: Simplify right side
    497.52x = 226,080.40
  5. Step 5: Solve for x
    x = 226,080.40/497.52
  6. Step 6: Final answer
    x = 454.41

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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.