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Finding the Fourth Proportional to 549.45, 824.18 and 387.45

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Solution

The fourth proportional to 549.45, 824.18 and 387.45 is: 581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.45 : 824.18 = 387.45 : x
  2. Step 2: Convert to fraction form
    549.45/824.18 = 387.45/x
  3. Step 3: Cross multiply
    549.45x = 824.18 × 387.45
  4. Step 4: Simplify right side
    549.45x = 319,326.60
  5. Step 5: Solve for x
    x = 319,326.60/549.45
  6. Step 6: Final answer
    x = 581.18

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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.