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Finding the Fourth Proportional to 461.14, 636.40 and 264.65

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Solution

The fourth proportional to 461.14, 636.40 and 264.65 is: 365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.14 : 636.40 = 264.65 : x
  2. Step 2: Convert to fraction form
    461.14/636.40 = 264.65/x
  3. Step 3: Cross multiply
    461.14x = 636.40 × 264.65
  4. Step 4: Simplify right side
    461.14x = 168,423.26
  5. Step 5: Solve for x
    x = 168,423.26/461.14
  6. Step 6: Final answer
    x = 365.23

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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.