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Finding the Fourth Proportional to 588.45, 882.15 and 314.73

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Solution

The fourth proportional to 588.45, 882.15 and 314.73 is: 471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.45 : 882.15 = 314.73 : x
  2. Step 2: Convert to fraction form
    588.45/882.15 = 314.73/x
  3. Step 3: Cross multiply
    588.45x = 882.15 × 314.73
  4. Step 4: Simplify right side
    588.45x = 277,639.07
  5. Step 5: Solve for x
    x = 277,639.07/588.45
  6. Step 6: Final answer
    x = 471.81

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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.