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Finding the Fourth Proportional to 549.61, 824.75 and 286.09

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Solution

The fourth proportional to 549.61, 824.75 and 286.09 is: 429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.61 : 824.75 = 286.09 : x
  2. Step 2: Convert to fraction form
    549.61/824.75 = 286.09/x
  3. Step 3: Cross multiply
    549.61x = 824.75 × 286.09
  4. Step 4: Simplify right side
    549.61x = 235,952.73
  5. Step 5: Solve for x
    x = 235,952.73/549.61
  6. Step 6: Final answer
    x = 429.31

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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.