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Finding the Fourth Proportional to 549.33, 822.40 and 384.60

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Solution

The fourth proportional to 549.33, 822.40 and 384.60 is: 575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.33 : 822.40 = 384.60 : x
  2. Step 2: Convert to fraction form
    549.33/822.40 = 384.60/x
  3. Step 3: Cross multiply
    549.33x = 822.40 × 384.60
  4. Step 4: Simplify right side
    549.33x = 316,294.70
  5. Step 5: Solve for x
    x = 316,294.70/549.33
  6. Step 6: Final answer
    x = 575.78

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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.