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Finding the Fourth Proportional to 551.40, 826.95 and 243.09

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Solution

The fourth proportional to 551.40, 826.95 and 243.09 is: 364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.40 : 826.95 = 243.09 : x
  2. Step 2: Convert to fraction form
    551.40/826.95 = 243.09/x
  3. Step 3: Cross multiply
    551.40x = 826.95 × 243.09
  4. Step 4: Simplify right side
    551.40x = 201,023.28
  5. Step 5: Solve for x
    x = 201,023.28/551.40
  6. Step 6: Final answer
    x = 364.57

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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.