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Finding the Fourth Proportional to 634.29, 951.65 and 264.29

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Solution

The fourth proportional to 634.29, 951.65 and 264.29 is: 396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.29 : 951.65 = 264.29 : x
  2. Step 2: Convert to fraction form
    634.29/951.65 = 264.29/x
  3. Step 3: Cross multiply
    634.29x = 951.65 × 264.29
  4. Step 4: Simplify right side
    634.29x = 251,510.06
  5. Step 5: Solve for x
    x = 251,510.06/634.29
  6. Step 6: Final answer
    x = 396.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.