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Finding the Fourth Proportional to 588.78, 882.41 and 314.69

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Solution

The fourth proportional to 588.78, 882.41 and 314.69 is: 471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.78 : 882.41 = 314.69 : x
  2. Step 2: Convert to fraction form
    588.78/882.41 = 314.69/x
  3. Step 3: Cross multiply
    588.78x = 882.41 × 314.69
  4. Step 4: Simplify right side
    588.78x = 277,679.62
  5. Step 5: Solve for x
    x = 277,679.62/588.78
  6. Step 6: Final answer
    x = 471.62

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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.