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Finding the Fourth Proportional to 461.77, 637.28 and 265.29

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Solution

The fourth proportional to 461.77, 637.28 and 265.29 is: 366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.77 : 637.28 = 265.29 : x
  2. Step 2: Convert to fraction form
    461.77/637.28 = 265.29/x
  3. Step 3: Cross multiply
    461.77x = 637.28 × 265.29
  4. Step 4: Simplify right side
    461.77x = 169,064.01
  5. Step 5: Solve for x
    x = 169,064.01/461.77
  6. Step 6: Final answer
    x = 366.12

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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.