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Finding the Fourth Proportional to 549.82, 823.11 and 457.68

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Solution

The fourth proportional to 549.82, 823.11 and 457.68 is: 685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.82 : 823.11 = 457.68 : x
  2. Step 2: Convert to fraction form
    549.82/823.11 = 457.68/x
  3. Step 3: Cross multiply
    549.82x = 823.11 × 457.68
  4. Step 4: Simplify right side
    549.82x = 376,720.98
  5. Step 5: Solve for x
    x = 376,720.98/549.82
  6. Step 6: Final answer
    x = 685.17

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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.