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Finding the Fourth Proportional to 549.68, 824.16 and 293.36

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Solution

The fourth proportional to 549.68, 824.16 and 293.36 is: 439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.68 : 824.16 = 293.36 : x
  2. Step 2: Convert to fraction form
    549.68/824.16 = 293.36/x
  3. Step 3: Cross multiply
    549.68x = 824.16 × 293.36
  4. Step 4: Simplify right side
    549.68x = 241,775.58
  5. Step 5: Solve for x
    x = 241,775.58/549.68
  6. Step 6: Final answer
    x = 439.85

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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.