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Finding the Fourth Proportional to 586.64, 880.24 and 221.56

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Solution

The fourth proportional to 586.64, 880.24 and 221.56 is: 332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.64 : 880.24 = 221.56 : x
  2. Step 2: Convert to fraction form
    586.64/880.24 = 221.56/x
  3. Step 3: Cross multiply
    586.64x = 880.24 × 221.56
  4. Step 4: Simplify right side
    586.64x = 195,025.97
  5. Step 5: Solve for x
    x = 195,025.97/586.64
  6. Step 6: Final answer
    x = 332.45

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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.