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Finding the Fourth Proportional to 587.89, 882.24 and 314.11

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Solution

The fourth proportional to 587.89, 882.24 and 314.11 is: 471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.89 : 882.24 = 314.11 : x
  2. Step 2: Convert to fraction form
    587.89/882.24 = 314.11/x
  3. Step 3: Cross multiply
    587.89x = 882.24 × 314.11
  4. Step 4: Simplify right side
    587.89x = 277,120.41
  5. Step 5: Solve for x
    x = 277,120.41/587.89
  6. Step 6: Final answer
    x = 471.38

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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.