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Finding the Fourth Proportional to 449.74, 674.52 and 125.02

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Solution

The fourth proportional to 449.74, 674.52 and 125.02 is: 187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.74 : 674.52 = 125.02 : x
  2. Step 2: Convert to fraction form
    449.74/674.52 = 125.02/x
  3. Step 3: Cross multiply
    449.74x = 674.52 × 125.02
  4. Step 4: Simplify right side
    449.74x = 84,328.49
  5. Step 5: Solve for x
    x = 84,328.49/449.74
  6. Step 6: Final answer
    x = 187.50

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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.