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Finding the Fourth Proportional to 588.69, 882.99 and 314.73

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Solution

The fourth proportional to 588.69, 882.99 and 314.73 is: 472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.69 : 882.99 = 314.73 : x
  2. Step 2: Convert to fraction form
    588.69/882.99 = 314.73/x
  3. Step 3: Cross multiply
    588.69x = 882.99 × 314.73
  4. Step 4: Simplify right side
    588.69x = 277,903.44
  5. Step 5: Solve for x
    x = 277,903.44/588.69
  6. Step 6: Final answer
    x = 472.07

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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.