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Finding the Fourth Proportional to 858.40, 1,286.96 and 371.68

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Solution

The fourth proportional to 858.40, 1,286.96 and 371.68 is: 557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.40 : 1,286.96 = 371.68 : x
  2. Step 2: Convert to fraction form
    858.40/1,286.96 = 371.68/x
  3. Step 3: Cross multiply
    858.40x = 1,286.96 × 371.68
  4. Step 4: Simplify right side
    858.40x = 478,337.29
  5. Step 5: Solve for x
    x = 478,337.29/858.40
  6. Step 6: Final answer
    x = 557.24

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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.