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Finding the Fourth Proportional to 461.75, 637.22 and 265.25

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Solution

The fourth proportional to 461.75, 637.22 and 265.25 is: 366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.75 : 637.22 = 265.25 : x
  2. Step 2: Convert to fraction form
    461.75/637.22 = 265.25/x
  3. Step 3: Cross multiply
    461.75x = 637.22 × 265.25
  4. Step 4: Simplify right side
    461.75x = 169,020.08
  5. Step 5: Solve for x
    x = 169,020.08/461.75
  6. Step 6: Final answer
    x = 366.05

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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.