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Finding the Fourth Proportional to 632.76, 948.06 and 449.76

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Solution

The fourth proportional to 632.76, 948.06 and 449.76 is: 673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.76 : 948.06 = 449.76 : x
  2. Step 2: Convert to fraction form
    632.76/948.06 = 449.76/x
  3. Step 3: Cross multiply
    632.76x = 948.06 × 449.76
  4. Step 4: Simplify right side
    632.76x = 426,399.47
  5. Step 5: Solve for x
    x = 426,399.47/632.76
  6. Step 6: Final answer
    x = 673.87

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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.