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Finding the Fourth Proportional to 294.27, 439.67 and 242.33

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Solution

The fourth proportional to 294.27, 439.67 and 242.33 is: 362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.27 : 439.67 = 242.33 : x
  2. Step 2: Convert to fraction form
    294.27/439.67 = 242.33/x
  3. Step 3: Cross multiply
    294.27x = 439.67 × 242.33
  4. Step 4: Simplify right side
    294.27x = 106,541.82
  5. Step 5: Solve for x
    x = 106,541.82/294.27
  6. Step 6: Final answer
    x = 362.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.