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Finding the Fourth Proportional to 549.66, 824.04 and 202.80

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Solution

The fourth proportional to 549.66, 824.04 and 202.80 is: 304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.66 : 824.04 = 202.80 : x
  2. Step 2: Convert to fraction form
    549.66/824.04 = 202.80/x
  3. Step 3: Cross multiply
    549.66x = 824.04 × 202.80
  4. Step 4: Simplify right side
    549.66x = 167,115.31
  5. Step 5: Solve for x
    x = 167,115.31/549.66
  6. Step 6: Final answer
    x = 304.03

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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.