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Finding the Fourth Proportional to 310.24, 426.24 and 279.04

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Solution

The fourth proportional to 310.24, 426.24 and 279.04 is: 383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.24 : 426.24 = 279.04 : x
  2. Step 2: Convert to fraction form
    310.24/426.24 = 279.04/x
  3. Step 3: Cross multiply
    310.24x = 426.24 × 279.04
  4. Step 4: Simplify right side
    310.24x = 118,938.01
  5. Step 5: Solve for x
    x = 118,938.01/310.24
  6. Step 6: Final answer
    x = 383.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.