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Finding the Fourth Proportional to 505.97, 698.24 and 284.95

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Solution

The fourth proportional to 505.97, 698.24 and 284.95 is: 393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.97 : 698.24 = 284.95 : x
  2. Step 2: Convert to fraction form
    505.97/698.24 = 284.95/x
  3. Step 3: Cross multiply
    505.97x = 698.24 × 284.95
  4. Step 4: Simplify right side
    505.97x = 198,958.57
  5. Step 5: Solve for x
    x = 198,958.57/505.97
  6. Step 6: Final answer
    x = 393.23

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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.