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Finding the Fourth Proportional to 322.52, 483.68 and 127.47

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Solution

The fourth proportional to 322.52, 483.68 and 127.47 is: 191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.52 : 483.68 = 127.47 : x
  2. Step 2: Convert to fraction form
    322.52/483.68 = 127.47/x
  3. Step 3: Cross multiply
    322.52x = 483.68 × 127.47
  4. Step 4: Simplify right side
    322.52x = 61,654.05
  5. Step 5: Solve for x
    x = 61,654.05/322.52
  6. Step 6: Final answer
    x = 191.17

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