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Finding the Fourth Proportional to 587.15, 880.56 and 221.70

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Solution

The fourth proportional to 587.15, 880.56 and 221.70 is: 332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.15 : 880.56 = 221.70 : x
  2. Step 2: Convert to fraction form
    587.15/880.56 = 221.70/x
  3. Step 3: Cross multiply
    587.15x = 880.56 × 221.70
  4. Step 4: Simplify right side
    587.15x = 195,220.15
  5. Step 5: Solve for x
    x = 195,220.15/587.15
  6. Step 6: Final answer
    x = 332.49

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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.