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Finding the Fourth Proportional to 549.99, 824.21 and 412.88

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Solution

The fourth proportional to 549.99, 824.21 and 412.88 is: 618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.99 : 824.21 = 412.88 : x
  2. Step 2: Convert to fraction form
    549.99/824.21 = 412.88/x
  3. Step 3: Cross multiply
    549.99x = 824.21 × 412.88
  4. Step 4: Simplify right side
    549.99x = 340,293.64
  5. Step 5: Solve for x
    x = 340,293.64/549.99
  6. Step 6: Final answer
    x = 618.73

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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.