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Finding the Fourth Proportional to 635.67, 952.61 and 460.94

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Solution

The fourth proportional to 635.67, 952.61 and 460.94 is: 690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.67 : 952.61 = 460.94 : x
  2. Step 2: Convert to fraction form
    635.67/952.61 = 460.94/x
  3. Step 3: Cross multiply
    635.67x = 952.61 × 460.94
  4. Step 4: Simplify right side
    635.67x = 439,088.99
  5. Step 5: Solve for x
    x = 439,088.99/635.67
  6. Step 6: Final answer
    x = 690.75

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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.