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Finding the Fourth Proportional to 634.65, 952.13 and 374.87

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Solution

The fourth proportional to 634.65, 952.13 and 374.87 is: 562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.65 : 952.13 = 374.87 : x
  2. Step 2: Convert to fraction form
    634.65/952.13 = 374.87/x
  3. Step 3: Cross multiply
    634.65x = 952.13 × 374.87
  4. Step 4: Simplify right side
    634.65x = 356,924.97
  5. Step 5: Solve for x
    x = 356,924.97/634.65
  6. Step 6: Final answer
    x = 562.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.