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Finding the Fourth Proportional to 332.97, 458.67 and 332.02

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Solution

The fourth proportional to 332.97, 458.67 and 332.02 is: 457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.97 : 458.67 = 332.02 : x
  2. Step 2: Convert to fraction form
    332.97/458.67 = 332.02/x
  3. Step 3: Cross multiply
    332.97x = 458.67 × 332.02
  4. Step 4: Simplify right side
    332.97x = 152,287.61
  5. Step 5: Solve for x
    x = 152,287.61/332.97
  6. Step 6: Final answer
    x = 457.36

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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.