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Finding the Fourth Proportional to 461.77, 637.34 and 265.34

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Solution

The fourth proportional to 461.77, 637.34 and 265.34 is: 366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.77 : 637.34 = 265.34 : x
  2. Step 2: Convert to fraction form
    461.77/637.34 = 265.34/x
  3. Step 3: Cross multiply
    461.77x = 637.34 × 265.34
  4. Step 4: Simplify right side
    461.77x = 169,112.06
  5. Step 5: Solve for x
    x = 169,112.06/461.77
  6. Step 6: Final answer
    x = 366.23

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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.