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Finding the Fourth Proportional to 462.05, 637.62 and 252.22

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Solution

The fourth proportional to 462.05, 637.62 and 252.22 is: 348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.05 : 637.62 = 252.22 : x
  2. Step 2: Convert to fraction form
    462.05/637.62 = 252.22/x
  3. Step 3: Cross multiply
    462.05x = 637.62 × 252.22
  4. Step 4: Simplify right side
    462.05x = 160,818.92
  5. Step 5: Solve for x
    x = 160,818.92/462.05
  6. Step 6: Final answer
    x = 348.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.