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Finding the Fourth Proportional to 466, 642.94 and 269.50

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Solution

The fourth proportional to 466, 642.94 and 269.50 is: 371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    466 : 642.94 = 269.50 : x
  2. Step 2: Convert to fraction form
    466/642.94 = 269.50/x
  3. Step 3: Cross multiply
    466x = 642.94 × 269.50
  4. Step 4: Simplify right side
    466x = 173,272.33
  5. Step 5: Solve for x
    x = 173,272.33/466
  6. Step 6: Final answer
    x = 371.83

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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.