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Finding the Fourth Proportional to 332.17, 458.45 and 297.38

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Solution

The fourth proportional to 332.17, 458.45 and 297.38 is: 410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.17 : 458.45 = 297.38 : x
  2. Step 2: Convert to fraction form
    332.17/458.45 = 297.38/x
  3. Step 3: Cross multiply
    332.17x = 458.45 × 297.38
  4. Step 4: Simplify right side
    332.17x = 136,333.86
  5. Step 5: Solve for x
    x = 136,333.86/332.17
  6. Step 6: Final answer
    x = 410.43

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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.