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Finding the Fourth Proportional to 634.30, 951.45 and 585.70

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Solution

The fourth proportional to 634.30, 951.45 and 585.70 is: 878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.30 : 951.45 = 585.70 : x
  2. Step 2: Convert to fraction form
    634.30/951.45 = 585.70/x
  3. Step 3: Cross multiply
    634.30x = 951.45 × 585.70
  4. Step 4: Simplify right side
    634.30x = 557,264.27
  5. Step 5: Solve for x
    x = 557,264.27/634.30
  6. Step 6: Final answer
    x = 878.55

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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.