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Finding the Fourth Proportional to 461.63, 637.25 and 275.18

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Solution

The fourth proportional to 461.63, 637.25 and 275.18 is: 379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.63 : 637.25 = 275.18 : x
  2. Step 2: Convert to fraction form
    461.63/637.25 = 275.18/x
  3. Step 3: Cross multiply
    461.63x = 637.25 × 275.18
  4. Step 4: Simplify right side
    461.63x = 175,358.46
  5. Step 5: Solve for x
    x = 175,358.46/461.63
  6. Step 6: Final answer
    x = 379.87

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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.