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Finding the Fourth Proportional to 586.32, 878.93 and 220.86

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Solution

The fourth proportional to 586.32, 878.93 and 220.86 is: 331.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.32 : 878.93 = 220.86 : x
  2. Step 2: Convert to fraction form
    586.32/878.93 = 220.86/x
  3. Step 3: Cross multiply
    586.32x = 878.93 × 220.86
  4. Step 4: Simplify right side
    586.32x = 194,120.20
  5. Step 5: Solve for x
    x = 194,120.20/586.32
  6. Step 6: Final answer
    x = 331.08

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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.