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Finding the Fourth Proportional to 588.83, 882.99 and 314.86

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Solution

The fourth proportional to 588.83, 882.99 and 314.86 is: 472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.83 : 882.99 = 314.86 : x
  2. Step 2: Convert to fraction form
    588.83/882.99 = 314.86/x
  3. Step 3: Cross multiply
    588.83x = 882.99 × 314.86
  4. Step 4: Simplify right side
    588.83x = 278,018.23
  5. Step 5: Solve for x
    x = 278,018.23/588.83
  6. Step 6: Final answer
    x = 472.15

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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.