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Finding the Fourth Proportional to 461.25, 636.53 and 264.77

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Solution

The fourth proportional to 461.25, 636.53 and 264.77 is: 365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.25 : 636.53 = 264.77 : x
  2. Step 2: Convert to fraction form
    461.25/636.53 = 264.77/x
  3. Step 3: Cross multiply
    461.25x = 636.53 × 264.77
  4. Step 4: Simplify right side
    461.25x = 168,535.51
  5. Step 5: Solve for x
    x = 168,535.51/461.25
  6. Step 6: Final answer
    x = 365.39

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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.