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Finding the Fourth Proportional to 549.85, 824.33 and 376.08

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Solution

The fourth proportional to 549.85, 824.33 and 376.08 is: 563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.85 : 824.33 = 376.08 : x
  2. Step 2: Convert to fraction form
    549.85/824.33 = 376.08/x
  3. Step 3: Cross multiply
    549.85x = 824.33 × 376.08
  4. Step 4: Simplify right side
    549.85x = 310,012.15
  5. Step 5: Solve for x
    x = 310,012.15/549.85
  6. Step 6: Final answer
    x = 563.82

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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.