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Finding the Fourth Proportional to 633.62, 951.14 and 360.05

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Solution

The fourth proportional to 633.62, 951.14 and 360.05 is: 540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.62 : 951.14 = 360.05 : x
  2. Step 2: Convert to fraction form
    633.62/951.14 = 360.05/x
  3. Step 3: Cross multiply
    633.62x = 951.14 × 360.05
  4. Step 4: Simplify right side
    633.62x = 342,454.10
  5. Step 5: Solve for x
    x = 342,454.10/633.62
  6. Step 6: Final answer
    x = 540.47

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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.