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Finding the Fourth Proportional to 549.12, 823.92 and 488.40

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Solution

The fourth proportional to 549.12, 823.92 and 488.40 is: 732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.12 : 823.92 = 488.40 : x
  2. Step 2: Convert to fraction form
    549.12/823.92 = 488.40/x
  3. Step 3: Cross multiply
    549.12x = 823.92 × 488.40
  4. Step 4: Simplify right side
    549.12x = 402,402.53
  5. Step 5: Solve for x
    x = 402,402.53/549.12
  6. Step 6: Final answer
    x = 732.81

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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.