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Finding the Fourth Proportional to 908.70, 1,363.48 and 415.02

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Solution

The fourth proportional to 908.70, 1,363.48 and 415.02 is: 622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.70 : 1,363.48 = 415.02 : x
  2. Step 2: Convert to fraction form
    908.70/1,363.48 = 415.02/x
  3. Step 3: Cross multiply
    908.70x = 1,363.48 × 415.02
  4. Step 4: Simplify right side
    908.70x = 565,871.47
  5. Step 5: Solve for x
    x = 565,871.47/908.70
  6. Step 6: Final answer
    x = 622.73

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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.