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Finding the Fourth Proportional to 632.79, 949.28 and 308.12

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Solution

The fourth proportional to 632.79, 949.28 and 308.12 is: 462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.79 : 949.28 = 308.12 : x
  2. Step 2: Convert to fraction form
    632.79/949.28 = 308.12/x
  3. Step 3: Cross multiply
    632.79x = 949.28 × 308.12
  4. Step 4: Simplify right side
    632.79x = 292,485.87
  5. Step 5: Solve for x
    x = 292,485.87/632.79
  6. Step 6: Final answer
    x = 462.22

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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.