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Finding the Fourth Proportional to 462.52, 693.98 and 202.71

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Solution

The fourth proportional to 462.52, 693.98 and 202.71 is: 304.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.52 : 693.98 = 202.71 : x
  2. Step 2: Convert to fraction form
    462.52/693.98 = 202.71/x
  3. Step 3: Cross multiply
    462.52x = 693.98 × 202.71
  4. Step 4: Simplify right side
    462.52x = 140,676.69
  5. Step 5: Solve for x
    x = 140,676.69/462.52
  6. Step 6: Final answer
    x = 304.15

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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.