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Finding the Fourth Proportional to 378.39, 568.65 and 224.34

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Solution

The fourth proportional to 378.39, 568.65 and 224.34 is: 337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.39 : 568.65 = 224.34 : x
  2. Step 2: Convert to fraction form
    378.39/568.65 = 224.34/x
  3. Step 3: Cross multiply
    378.39x = 568.65 × 224.34
  4. Step 4: Simplify right side
    378.39x = 127,570.94
  5. Step 5: Solve for x
    x = 127,570.94/378.39
  6. Step 6: Final answer
    x = 337.14

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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.