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Finding the Fourth Proportional to 658.95, 988.44 and 415.14

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Solution

The fourth proportional to 658.95, 988.44 and 415.14 is: 622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.95 : 988.44 = 415.14 : x
  2. Step 2: Convert to fraction form
    658.95/988.44 = 415.14/x
  3. Step 3: Cross multiply
    658.95x = 988.44 × 415.14
  4. Step 4: Simplify right side
    658.95x = 410,340.98
  5. Step 5: Solve for x
    x = 410,340.98/658.95
  6. Step 6: Final answer
    x = 622.72

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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.