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Finding the Fourth Proportional to 549.20, 838.26 and 549.20

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Solution

The fourth proportional to 549.20, 838.26 and 549.20 is: 838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.20 : 838.26 = 549.20 : x
  2. Step 2: Convert to fraction form
    549.20/838.26 = 549.20/x
  3. Step 3: Cross multiply
    549.20x = 838.26 × 549.20
  4. Step 4: Simplify right side
    549.20x = 460,372.39
  5. Step 5: Solve for x
    x = 460,372.39/549.20
  6. Step 6: Final answer
    x = 838.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.