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Finding the Fourth Proportional to 908.32, 1,253.46 and 494.32

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Solution

The fourth proportional to 908.32, 1,253.46 and 494.32 is: 682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.32 : 1,253.46 = 494.32 : x
  2. Step 2: Convert to fraction form
    908.32/1,253.46 = 494.32/x
  3. Step 3: Cross multiply
    908.32x = 1,253.46 × 494.32
  4. Step 4: Simplify right side
    908.32x = 619,610.35
  5. Step 5: Solve for x
    x = 619,610.35/908.32
  6. Step 6: Final answer
    x = 682.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.