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Finding the Fourth Proportional to 549.27, 823.52 and 289.05

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Solution

The fourth proportional to 549.27, 823.52 and 289.05 is: 433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.27 : 823.52 = 289.05 : x
  2. Step 2: Convert to fraction form
    549.27/823.52 = 289.05/x
  3. Step 3: Cross multiply
    549.27x = 823.52 × 289.05
  4. Step 4: Simplify right side
    549.27x = 238,037.01
  5. Step 5: Solve for x
    x = 238,037.01/549.27
  6. Step 6: Final answer
    x = 433.37

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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.