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Finding the Fourth Proportional to 635.57, 952.53 and 460.47

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Solution

The fourth proportional to 635.57, 952.53 and 460.47 is: 690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.57 : 952.53 = 460.47 : x
  2. Step 2: Convert to fraction form
    635.57/952.53 = 460.47/x
  3. Step 3: Cross multiply
    635.57x = 952.53 × 460.47
  4. Step 4: Simplify right side
    635.57x = 438,611.49
  5. Step 5: Solve for x
    x = 438,611.49/635.57
  6. Step 6: Final answer
    x = 690.11

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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.