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Finding the Fourth Proportional to 568.31, 783.76 and 371.48

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Solution

The fourth proportional to 568.31, 783.76 and 371.48 is: 512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.31 : 783.76 = 371.48 : x
  2. Step 2: Convert to fraction form
    568.31/783.76 = 371.48/x
  3. Step 3: Cross multiply
    568.31x = 783.76 × 371.48
  4. Step 4: Simplify right side
    568.31x = 291,149.31
  5. Step 5: Solve for x
    x = 291,149.31/568.31
  6. Step 6: Final answer
    x = 512.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.