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Finding the Fourth Proportional to 632.05, 948.34 and 242.17

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Solution

The fourth proportional to 632.05, 948.34 and 242.17 is: 363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.05 : 948.34 = 242.17 : x
  2. Step 2: Convert to fraction form
    632.05/948.34 = 242.17/x
  3. Step 3: Cross multiply
    632.05x = 948.34 × 242.17
  4. Step 4: Simplify right side
    632.05x = 229,659.50
  5. Step 5: Solve for x
    x = 229,659.50/632.05
  6. Step 6: Final answer
    x = 363.36

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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.