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Finding the Fourth Proportional to 549.80, 823.44 and 318.12

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Solution

The fourth proportional to 549.80, 823.44 and 318.12 is: 476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.80 : 823.44 = 318.12 : x
  2. Step 2: Convert to fraction form
    549.80/823.44 = 318.12/x
  3. Step 3: Cross multiply
    549.80x = 823.44 × 318.12
  4. Step 4: Simplify right side
    549.80x = 261,952.26
  5. Step 5: Solve for x
    x = 261,952.26/549.80
  6. Step 6: Final answer
    x = 476.45

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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.