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Finding the Fourth Proportional to 632.70, 948.50 and 303.48

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Solution

The fourth proportional to 632.70, 948.50 and 303.48 is: 454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.70 : 948.50 = 303.48 : x
  2. Step 2: Convert to fraction form
    632.70/948.50 = 303.48/x
  3. Step 3: Cross multiply
    632.70x = 948.50 × 303.48
  4. Step 4: Simplify right side
    632.70x = 287,850.78
  5. Step 5: Solve for x
    x = 287,850.78/632.70
  6. Step 6: Final answer
    x = 454.96

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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.