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Finding the Fourth Proportional to 294.59, 442.56 and 243.43

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Solution

The fourth proportional to 294.59, 442.56 and 243.43 is: 365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.59 : 442.56 = 243.43 : x
  2. Step 2: Convert to fraction form
    294.59/442.56 = 243.43/x
  3. Step 3: Cross multiply
    294.59x = 442.56 × 243.43
  4. Step 4: Simplify right side
    294.59x = 107,732.38
  5. Step 5: Solve for x
    x = 107,732.38/294.59
  6. Step 6: Final answer
    x = 365.70

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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.