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Finding the Fourth Proportional to 567.41, 843.82 and 549.18

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Solution

The fourth proportional to 567.41, 843.82 and 549.18 is: 816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.41 : 843.82 = 549.18 : x
  2. Step 2: Convert to fraction form
    567.41/843.82 = 549.18/x
  3. Step 3: Cross multiply
    567.41x = 843.82 × 549.18
  4. Step 4: Simplify right side
    567.41x = 463,407.69
  5. Step 5: Solve for x
    x = 463,407.69/567.41
  6. Step 6: Final answer
    x = 816.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.