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Finding the Fourth Proportional to 858.92, 1,288.06 and 310.94

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Solution

The fourth proportional to 858.92, 1,288.06 and 310.94 is: 466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.92 : 1,288.06 = 310.94 : x
  2. Step 2: Convert to fraction form
    858.92/1,288.06 = 310.94/x
  3. Step 3: Cross multiply
    858.92x = 1,288.06 × 310.94
  4. Step 4: Simplify right side
    858.92x = 400,509.38
  5. Step 5: Solve for x
    x = 400,509.38/858.92
  6. Step 6: Final answer
    x = 466.29

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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.