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Finding the Fourth Proportional to 586.78, 880.54 and 221.60

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Solution

The fourth proportional to 586.78, 880.54 and 221.60 is: 332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.78 : 880.54 = 221.60 : x
  2. Step 2: Convert to fraction form
    586.78/880.54 = 221.60/x
  3. Step 3: Cross multiply
    586.78x = 880.54 × 221.60
  4. Step 4: Simplify right side
    586.78x = 195,129.31
  5. Step 5: Solve for x
    x = 195,129.31/586.78
  6. Step 6: Final answer
    x = 332.54

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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.