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Finding the Fourth Proportional to 587.44, 881.16 and 314.47

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Solution

The fourth proportional to 587.44, 881.16 and 314.47 is: 471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.44 : 881.16 = 314.47 : x
  2. Step 2: Convert to fraction form
    587.44/881.16 = 314.47/x
  3. Step 3: Cross multiply
    587.44x = 881.16 × 314.47
  4. Step 4: Simplify right side
    587.44x = 277,098.39
  5. Step 5: Solve for x
    x = 277,098.39/587.44
  6. Step 6: Final answer
    x = 471.71

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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.