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Finding the Fourth Proportional to 549.77, 824.80 and 453.38

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Solution

The fourth proportional to 549.77, 824.80 and 453.38 is: 680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.77 : 824.80 = 453.38 : x
  2. Step 2: Convert to fraction form
    549.77/824.80 = 453.38/x
  3. Step 3: Cross multiply
    549.77x = 824.80 × 453.38
  4. Step 4: Simplify right side
    549.77x = 373,948.75
  5. Step 5: Solve for x
    x = 373,948.75/549.77
  6. Step 6: Final answer
    x = 680.19

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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.