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Finding the Fourth Proportional to 497.02, 686.05 and 331.31

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Solution

The fourth proportional to 497.02, 686.05 and 331.31 is: 457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.02 : 686.05 = 331.31 : x
  2. Step 2: Convert to fraction form
    497.02/686.05 = 331.31/x
  3. Step 3: Cross multiply
    497.02x = 686.05 × 331.31
  4. Step 4: Simplify right side
    497.02x = 227,295.23
  5. Step 5: Solve for x
    x = 227,295.23/497.02
  6. Step 6: Final answer
    x = 457.32

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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.