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Finding the Fourth Proportional to 452.96, 677.97 and 247.02

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Solution

The fourth proportional to 452.96, 677.97 and 247.02 is: 369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.96 : 677.97 = 247.02 : x
  2. Step 2: Convert to fraction form
    452.96/677.97 = 247.02/x
  3. Step 3: Cross multiply
    452.96x = 677.97 × 247.02
  4. Step 4: Simplify right side
    452.96x = 167,469.61
  5. Step 5: Solve for x
    x = 167,469.61/452.96
  6. Step 6: Final answer
    x = 369.72

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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.