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Finding the Fourth Proportional to 549.76, 823.56 and 412.96

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Solution

The fourth proportional to 549.76, 823.56 and 412.96 is: 618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.76 : 823.56 = 412.96 : x
  2. Step 2: Convert to fraction form
    549.76/823.56 = 412.96/x
  3. Step 3: Cross multiply
    549.76x = 823.56 × 412.96
  4. Step 4: Simplify right side
    549.76x = 340,097.34
  5. Step 5: Solve for x
    x = 340,097.34/549.76
  6. Step 6: Final answer
    x = 618.63

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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.