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Finding the Fourth Proportional to 293.59, 441.06 and 242.43

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Solution

The fourth proportional to 293.59, 441.06 and 242.43 is: 364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.59 : 441.06 = 242.43 : x
  2. Step 2: Convert to fraction form
    293.59/441.06 = 242.43/x
  3. Step 3: Cross multiply
    293.59x = 441.06 × 242.43
  4. Step 4: Simplify right side
    293.59x = 106,926.18
  5. Step 5: Solve for x
    x = 106,926.18/293.59
  6. Step 6: Final answer
    x = 364.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.