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Finding the Fourth Proportional to 586.08, 879.42 and 220.87

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Solution

The fourth proportional to 586.08, 879.42 and 220.87 is: 331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.08 : 879.42 = 220.87 : x
  2. Step 2: Convert to fraction form
    586.08/879.42 = 220.87/x
  3. Step 3: Cross multiply
    586.08x = 879.42 × 220.87
  4. Step 4: Simplify right side
    586.08x = 194,235.30
  5. Step 5: Solve for x
    x = 194,235.30/586.08
  6. Step 6: Final answer
    x = 331.41

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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.