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Finding the Fourth Proportional to 366.79, 506 and 242.28

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Solution

The fourth proportional to 366.79, 506 and 242.28 is: 334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.79 : 506 = 242.28 : x
  2. Step 2: Convert to fraction form
    366.79/506 = 242.28/x
  3. Step 3: Cross multiply
    366.79x = 506 × 242.28
  4. Step 4: Simplify right side
    366.79x = 122,593.68
  5. Step 5: Solve for x
    x = 122,593.68/366.79
  6. Step 6: Final answer
    x = 334.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.