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Finding the Fourth Proportional to 549.44, 828.40 and 512.32

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Solution

The fourth proportional to 549.44, 828.40 and 512.32 is: 772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.44 : 828.40 = 512.32 : x
  2. Step 2: Convert to fraction form
    549.44/828.40 = 512.32/x
  3. Step 3: Cross multiply
    549.44x = 828.40 × 512.32
  4. Step 4: Simplify right side
    549.44x = 424,405.89
  5. Step 5: Solve for x
    x = 424,405.89/549.44
  6. Step 6: Final answer
    x = 772.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.