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Finding the Fourth Proportional to 632.17, 948.46 and 323.94

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Solution

The fourth proportional to 632.17, 948.46 and 323.94 is: 486.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.17 : 948.46 = 323.94 : x
  2. Step 2: Convert to fraction form
    632.17/948.46 = 323.94/x
  3. Step 3: Cross multiply
    632.17x = 948.46 × 323.94
  4. Step 4: Simplify right side
    632.17x = 307,244.13
  5. Step 5: Solve for x
    x = 307,244.13/632.17
  6. Step 6: Final answer
    x = 486.02

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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.