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Finding the Fourth Proportional to 549.60, 824.94 and 203.28

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Solution

The fourth proportional to 549.60, 824.94 and 203.28 is: 305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.60 : 824.94 = 203.28 : x
  2. Step 2: Convert to fraction form
    549.60/824.94 = 203.28/x
  3. Step 3: Cross multiply
    549.60x = 824.94 × 203.28
  4. Step 4: Simplify right side
    549.60x = 167,693.80
  5. Step 5: Solve for x
    x = 167,693.80/549.60
  6. Step 6: Final answer
    x = 305.12

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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.