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Finding the Fourth Proportional to 366.68, 506.28 and 287.84

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Solution

The fourth proportional to 366.68, 506.28 and 287.84 is: 397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.68 : 506.28 = 287.84 : x
  2. Step 2: Convert to fraction form
    366.68/506.28 = 287.84/x
  3. Step 3: Cross multiply
    366.68x = 506.28 × 287.84
  4. Step 4: Simplify right side
    366.68x = 145,727.64
  5. Step 5: Solve for x
    x = 145,727.64/366.68
  6. Step 6: Final answer
    x = 397.42

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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.