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Finding the Fourth Proportional to 635.64, 951.78 and 416.52

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Solution

The fourth proportional to 635.64, 951.78 and 416.52 is: 623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.64 : 951.78 = 416.52 : x
  2. Step 2: Convert to fraction form
    635.64/951.78 = 416.52/x
  3. Step 3: Cross multiply
    635.64x = 951.78 × 416.52
  4. Step 4: Simplify right side
    635.64x = 396,435.41
  5. Step 5: Solve for x
    x = 396,435.41/635.64
  6. Step 6: Final answer
    x = 623.68

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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.