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Finding the Fourth Proportional to 461.79, 637.33 and 265.30

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Solution

The fourth proportional to 461.79, 637.33 and 265.30 is: 366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.79 : 637.33 = 265.30 : x
  2. Step 2: Convert to fraction form
    461.79/637.33 = 265.30/x
  3. Step 3: Cross multiply
    461.79x = 637.33 × 265.30
  4. Step 4: Simplify right side
    461.79x = 169,080.46
  5. Step 5: Solve for x
    x = 169,080.46/461.79
  6. Step 6: Final answer
    x = 366.14

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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.