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Finding the Fourth Proportional to 331.17, 497.31 and 296.52

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Solution

The fourth proportional to 331.17, 497.31 and 296.52 is: 445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.17 : 497.31 = 296.52 : x
  2. Step 2: Convert to fraction form
    331.17/497.31 = 296.52/x
  3. Step 3: Cross multiply
    331.17x = 497.31 × 296.52
  4. Step 4: Simplify right side
    331.17x = 147,462.36
  5. Step 5: Solve for x
    x = 147,462.36/331.17
  6. Step 6: Final answer
    x = 445.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.