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Finding the Fourth Proportional to 567, 849.70 and 412.24

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Solution

The fourth proportional to 567, 849.70 and 412.24 is: 617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    567 : 849.70 = 412.24 : x
  2. Step 2: Convert to fraction form
    567/849.70 = 412.24/x
  3. Step 3: Cross multiply
    567x = 849.70 × 412.24
  4. Step 4: Simplify right side
    567x = 350,280.33
  5. Step 5: Solve for x
    x = 350,280.33/567
  6. Step 6: Final answer
    x = 617.78

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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.