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Finding the Fourth Proportional to 858.78, 1,288.26 and 310.84

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Solution

The fourth proportional to 858.78, 1,288.26 and 310.84 is: 466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.78 : 1,288.26 = 310.84 : x
  2. Step 2: Convert to fraction form
    858.78/1,288.26 = 310.84/x
  3. Step 3: Cross multiply
    858.78x = 1,288.26 × 310.84
  4. Step 4: Simplify right side
    858.78x = 400,444.02
  5. Step 5: Solve for x
    x = 400,444.02/858.78
  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.