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Finding the Fourth Proportional to 262.95, 392.28 and 241.79

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Solution

The fourth proportional to 262.95, 392.28 and 241.79 is: 360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.95 : 392.28 = 241.79 : x
  2. Step 2: Convert to fraction form
    262.95/392.28 = 241.79/x
  3. Step 3: Cross multiply
    262.95x = 392.28 × 241.79
  4. Step 4: Simplify right side
    262.95x = 94,849.38
  5. Step 5: Solve for x
    x = 94,849.38/262.95
  6. Step 6: Final answer
    x = 360.71

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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.