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Finding the Fourth Proportional to 588.04, 883.42 and 344.73

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Solution

The fourth proportional to 588.04, 883.42 and 344.73 is: 517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.04 : 883.42 = 344.73 : x
  2. Step 2: Convert to fraction form
    588.04/883.42 = 344.73/x
  3. Step 3: Cross multiply
    588.04x = 883.42 × 344.73
  4. Step 4: Simplify right side
    588.04x = 304,541.38
  5. Step 5: Solve for x
    x = 304,541.38/588.04
  6. Step 6: Final answer
    x = 517.89

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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.