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Finding the Fourth Proportional to 461.54, 637.03 and 265.12

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Solution

The fourth proportional to 461.54, 637.03 and 265.12 is: 365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.54 : 637.03 = 265.12 : x
  2. Step 2: Convert to fraction form
    461.54/637.03 = 265.12/x
  3. Step 3: Cross multiply
    461.54x = 637.03 × 265.12
  4. Step 4: Simplify right side
    461.54x = 168,888.13
  5. Step 5: Solve for x
    x = 168,888.13/461.54
  6. Step 6: Final answer
    x = 365.92

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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.