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Finding the Fourth Proportional to 586.38, 879.42 and 221.16

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Solution

The fourth proportional to 586.38, 879.42 and 221.16 is: 331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.38 : 879.42 = 221.16 : x
  2. Step 2: Convert to fraction form
    586.38/879.42 = 221.16/x
  3. Step 3: Cross multiply
    586.38x = 879.42 × 221.16
  4. Step 4: Simplify right side
    586.38x = 194,492.53
  5. Step 5: Solve for x
    x = 194,492.53/586.38
  6. Step 6: Final answer
    x = 331.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.