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Finding the Fourth Proportional to 378.42, 564.92 and 344.40

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Solution

The fourth proportional to 378.42, 564.92 and 344.40 is: 514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.42 : 564.92 = 344.40 : x
  2. Step 2: Convert to fraction form
    378.42/564.92 = 344.40/x
  3. Step 3: Cross multiply
    378.42x = 564.92 × 344.40
  4. Step 4: Simplify right side
    378.42x = 194,556.73
  5. Step 5: Solve for x
    x = 194,556.73/378.42
  6. Step 6: Final answer
    x = 514.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.