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Finding the Fourth Proportional to 632.97, 949.52 and 262.70

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Solution

The fourth proportional to 632.97, 949.52 and 262.70 is: 394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.97 : 949.52 = 262.70 : x
  2. Step 2: Convert to fraction form
    632.97/949.52 = 262.70/x
  3. Step 3: Cross multiply
    632.97x = 949.52 × 262.70
  4. Step 4: Simplify right side
    632.97x = 249,441.93
  5. Step 5: Solve for x
    x = 249,441.93/632.97
  6. Step 6: Final answer
    x = 394.08

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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.