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Finding the Fourth Proportional to 378.28, 564.35 and 342.91

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Solution

The fourth proportional to 378.28, 564.35 and 342.91 is: 511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.28 : 564.35 = 342.91 : x
  2. Step 2: Convert to fraction form
    378.28/564.35 = 342.91/x
  3. Step 3: Cross multiply
    378.28x = 564.35 × 342.91
  4. Step 4: Simplify right side
    378.28x = 193,523.44
  5. Step 5: Solve for x
    x = 193,523.44/378.28
  6. Step 6: Final answer
    x = 511.58

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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.