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Finding the Fourth Proportional to 586.56, 880.18 and 221.28

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Solution

The fourth proportional to 586.56, 880.18 and 221.28 is: 332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.56 : 880.18 = 221.28 : x
  2. Step 2: Convert to fraction form
    586.56/880.18 = 221.28/x
  3. Step 3: Cross multiply
    586.56x = 880.18 × 221.28
  4. Step 4: Simplify right side
    586.56x = 194,766.23
  5. Step 5: Solve for x
    x = 194,766.23/586.56
  6. Step 6: Final answer
    x = 332.05

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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.