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Finding the Fourth Proportional to 378.47, 567.10 and 342.02

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Solution

The fourth proportional to 378.47, 567.10 and 342.02 is: 512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.47 : 567.10 = 342.02 : x
  2. Step 2: Convert to fraction form
    378.47/567.10 = 342.02/x
  3. Step 3: Cross multiply
    378.47x = 567.10 × 342.02
  4. Step 4: Simplify right side
    378.47x = 193,961.39
  5. Step 5: Solve for x
    x = 193,961.39/378.47
  6. Step 6: Final answer
    x = 512.48

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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.