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Finding the Fourth Proportional to 423.20, 633.25 and 249.95

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Solution

The fourth proportional to 423.20, 633.25 and 249.95 is: 374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.20 : 633.25 = 249.95 : x
  2. Step 2: Convert to fraction form
    423.20/633.25 = 249.95/x
  3. Step 3: Cross multiply
    423.20x = 633.25 × 249.95
  4. Step 4: Simplify right side
    423.20x = 158,280.84
  5. Step 5: Solve for x
    x = 158,280.84/423.20
  6. Step 6: Final answer
    x = 374.01

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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.