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Finding the Fourth Proportional to 549.96, 824.13 and 463.56

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Solution

The fourth proportional to 549.96, 824.13 and 463.56 is: 694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.96 : 824.13 = 463.56 : x
  2. Step 2: Convert to fraction form
    549.96/824.13 = 463.56/x
  3. Step 3: Cross multiply
    549.96x = 824.13 × 463.56
  4. Step 4: Simplify right side
    549.96x = 382,033.70
  5. Step 5: Solve for x
    x = 382,033.70/549.96
  6. Step 6: Final answer
    x = 694.66

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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.