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Finding the Fourth Proportional to 712.27, 1,068.54 and 225.33

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Solution

The fourth proportional to 712.27, 1,068.54 and 225.33 is: 338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.27 : 1,068.54 = 225.33 : x
  2. Step 2: Convert to fraction form
    712.27/1,068.54 = 225.33/x
  3. Step 3: Cross multiply
    712.27x = 1,068.54 × 225.33
  4. Step 4: Simplify right side
    712.27x = 240,774.12
  5. Step 5: Solve for x
    x = 240,774.12/712.27
  6. Step 6: Final answer
    x = 338.04

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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.