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Finding the Fourth Proportional to 634.23, 952.04 and 460.98

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Solution

The fourth proportional to 634.23, 952.04 and 460.98 is: 691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.23 : 952.04 = 460.98 : x
  2. Step 2: Convert to fraction form
    634.23/952.04 = 460.98/x
  3. Step 3: Cross multiply
    634.23x = 952.04 × 460.98
  4. Step 4: Simplify right side
    634.23x = 438,872.55
  5. Step 5: Solve for x
    x = 438,872.55/634.23
  6. Step 6: Final answer
    x = 691.98

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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.