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Finding the Fourth Proportional to 549.52, 824.22 and 289.42

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Solution

The fourth proportional to 549.52, 824.22 and 289.42 is: 434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.52 : 824.22 = 289.42 : x
  2. Step 2: Convert to fraction form
    549.52/824.22 = 289.42/x
  3. Step 3: Cross multiply
    549.52x = 824.22 × 289.42
  4. Step 4: Simplify right side
    549.52x = 238,541.63
  5. Step 5: Solve for x
    x = 238,541.63/549.52
  6. Step 6: Final answer
    x = 434.09

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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.