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Finding the Fourth Proportional to 549.69, 824.26 and 458.43

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Solution

The fourth proportional to 549.69, 824.26 and 458.43 is: 687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.69 : 824.26 = 458.43 : x
  2. Step 2: Convert to fraction form
    549.69/824.26 = 458.43/x
  3. Step 3: Cross multiply
    549.69x = 824.26 × 458.43
  4. Step 4: Simplify right side
    549.69x = 377,865.51
  5. Step 5: Solve for x
    x = 377,865.51/549.69
  6. Step 6: Final answer
    x = 687.42

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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.