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Finding the Fourth Proportional to 549.40, 824.64 and 333.40

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Solution

The fourth proportional to 549.40, 824.64 and 333.40 is: 500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.40 : 824.64 = 333.40 : x
  2. Step 2: Convert to fraction form
    549.40/824.64 = 333.40/x
  3. Step 3: Cross multiply
    549.40x = 824.64 × 333.40
  4. Step 4: Simplify right side
    549.40x = 274,934.98
  5. Step 5: Solve for x
    x = 274,934.98/549.40
  6. Step 6: Final answer
    x = 500.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.