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Finding the Fourth Proportional to 549.35, 820.11 and 530.13

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Solution

The fourth proportional to 549.35, 820.11 and 530.13 is: 791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.35 : 820.11 = 530.13 : x
  2. Step 2: Convert to fraction form
    549.35/820.11 = 530.13/x
  3. Step 3: Cross multiply
    549.35x = 820.11 × 530.13
  4. Step 4: Simplify right side
    549.35x = 434,764.91
  5. Step 5: Solve for x
    x = 434,764.91/549.35
  6. Step 6: Final answer
    x = 791.41

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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.