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Finding the Fourth Proportional to 635.38, 953.98 and 416.07

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Solution

The fourth proportional to 635.38, 953.98 and 416.07 is: 624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.38 : 953.98 = 416.07 : x
  2. Step 2: Convert to fraction form
    635.38/953.98 = 416.07/x
  3. Step 3: Cross multiply
    635.38x = 953.98 × 416.07
  4. Step 4: Simplify right side
    635.38x = 396,921.42
  5. Step 5: Solve for x
    x = 396,921.42/635.38
  6. Step 6: Final answer
    x = 624.70

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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.