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Finding the Fourth Proportional to 462.25, 637.88 and 275.69

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Solution

The fourth proportional to 462.25, 637.88 and 275.69 is: 380.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.25 : 637.88 = 275.69 : x
  2. Step 2: Convert to fraction form
    462.25/637.88 = 275.69/x
  3. Step 3: Cross multiply
    462.25x = 637.88 × 275.69
  4. Step 4: Simplify right side
    462.25x = 175,857.14
  5. Step 5: Solve for x
    x = 175,857.14/462.25
  6. Step 6: Final answer
    x = 380.44

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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.