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Finding the Fourth Proportional to 587.67, 880.92 and 337.83

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Solution

The fourth proportional to 587.67, 880.92 and 337.83 is: 506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.67 : 880.92 = 337.83 : x
  2. Step 2: Convert to fraction form
    587.67/880.92 = 337.83/x
  3. Step 3: Cross multiply
    587.67x = 880.92 × 337.83
  4. Step 4: Simplify right side
    587.67x = 297,602.86
  5. Step 5: Solve for x
    x = 297,602.86/587.67
  6. Step 6: Final answer
    x = 506.41

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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.