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Finding the Fourth Proportional to 461.42, 636.69 and 264.89

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Solution

The fourth proportional to 461.42, 636.69 and 264.89 is: 365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.42 : 636.69 = 264.89 : x
  2. Step 2: Convert to fraction form
    461.42/636.69 = 264.89/x
  3. Step 3: Cross multiply
    461.42x = 636.69 × 264.89
  4. Step 4: Simplify right side
    461.42x = 168,652.81
  5. Step 5: Solve for x
    x = 168,652.81/461.42
  6. Step 6: Final answer
    x = 365.51

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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.