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Finding the Fourth Proportional to 567.20, 849.96 and 371.84

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Solution

The fourth proportional to 567.20, 849.96 and 371.84 is: 557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.20 : 849.96 = 371.84 : x
  2. Step 2: Convert to fraction form
    567.20/849.96 = 371.84/x
  3. Step 3: Cross multiply
    567.20x = 849.96 × 371.84
  4. Step 4: Simplify right side
    567.20x = 316,049.13
  5. Step 5: Solve for x
    x = 316,049.13/567.20
  6. Step 6: Final answer
    x = 557.21

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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.