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Finding the Fourth Proportional to 635.67, 952.18 and 462.65

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Solution

The fourth proportional to 635.67, 952.18 and 462.65 is: 693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.67 : 952.18 = 462.65 : x
  2. Step 2: Convert to fraction form
    635.67/952.18 = 462.65/x
  3. Step 3: Cross multiply
    635.67x = 952.18 × 462.65
  4. Step 4: Simplify right side
    635.67x = 440,520.16
  5. Step 5: Solve for x
    x = 440,520.16/635.67
  6. Step 6: Final answer
    x = 693.00

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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.