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Finding the Fourth Proportional to 549.44, 823.20 and 512

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Solution

The fourth proportional to 549.44, 823.20 and 512 is: 767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.44 : 823.20 = 512 : x
  2. Step 2: Convert to fraction form
    549.44/823.20 = 512/x
  3. Step 3: Cross multiply
    549.44x = 823.20 × 512
  4. Step 4: Simplify right side
    549.44x = 421,478.40
  5. Step 5: Solve for x
    x = 421,478.40/549.44
  6. Step 6: Final answer
    x = 767.11

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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.