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Finding the Fourth Proportional to 658.64, 987.95 and 220.00

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Solution

The fourth proportional to 658.64, 987.95 and 220.00 is: 329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.64 : 987.95 = 220.00 : x
  2. Step 2: Convert to fraction form
    658.64/987.95 = 220.00/x
  3. Step 3: Cross multiply
    658.64x = 987.95 × 220.00
  4. Step 4: Simplify right side
    658.64x = 217,342.96
  5. Step 5: Solve for x
    x = 217,342.96/658.64
  6. Step 6: Final answer
    x = 329.99

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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.