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Finding the Fourth Proportional to 567.08, 849.28 and 371.96

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Solution

The fourth proportional to 567.08, 849.28 and 371.96 is: 557.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.08 : 849.28 = 371.96 : x
  2. Step 2: Convert to fraction form
    567.08/849.28 = 371.96/x
  3. Step 3: Cross multiply
    567.08x = 849.28 × 371.96
  4. Step 4: Simplify right side
    567.08x = 315,898.19
  5. Step 5: Solve for x
    x = 315,898.19/567.08
  6. Step 6: Final answer
    x = 557.06

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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.