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Finding the Fourth Proportional to 549.04, 823.69 and 202.56

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Solution

The fourth proportional to 549.04, 823.69 and 202.56 is: 303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.04 : 823.69 = 202.56 : x
  2. Step 2: Convert to fraction form
    549.04/823.69 = 202.56/x
  3. Step 3: Cross multiply
    549.04x = 823.69 × 202.56
  4. Step 4: Simplify right side
    549.04x = 166,846.65
  5. Step 5: Solve for x
    x = 166,846.65/549.04
  6. Step 6: Final answer
    x = 303.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.