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Finding the Fourth Proportional to 549.43, 824.78 and 433.95

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Solution

The fourth proportional to 549.43, 824.78 and 433.95 is: 651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.43 : 824.78 = 433.95 : x
  2. Step 2: Convert to fraction form
    549.43/824.78 = 433.95/x
  3. Step 3: Cross multiply
    549.43x = 824.78 × 433.95
  4. Step 4: Simplify right side
    549.43x = 357,913.28
  5. Step 5: Solve for x
    x = 357,913.28/549.43
  6. Step 6: Final answer
    x = 651.43

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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.