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Finding the Fourth Proportional to 549.24, 761.49 and 531.24

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Solution

The fourth proportional to 549.24, 761.49 and 531.24 is: 736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.24 : 761.49 = 531.24 : x
  2. Step 2: Convert to fraction form
    549.24/761.49 = 531.24/x
  3. Step 3: Cross multiply
    549.24x = 761.49 × 531.24
  4. Step 4: Simplify right side
    549.24x = 404,533.95
  5. Step 5: Solve for x
    x = 404,533.95/549.24
  6. Step 6: Final answer
    x = 736.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.