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Finding the Fourth Proportional to 587.19, 880.48 and 221.78

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Solution

The fourth proportional to 587.19, 880.48 and 221.78 is: 332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.19 : 880.48 = 221.78 : x
  2. Step 2: Convert to fraction form
    587.19/880.48 = 221.78/x
  3. Step 3: Cross multiply
    587.19x = 880.48 × 221.78
  4. Step 4: Simplify right side
    587.19x = 195,274.50
  5. Step 5: Solve for x
    x = 195,274.50/587.19
  6. Step 6: Final answer
    x = 332.56

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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.