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Finding the Fourth Proportional to 505.97, 698.23 and 284.92

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Solution

The fourth proportional to 505.97, 698.23 and 284.92 is: 393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.97 : 698.23 = 284.92 : x
  2. Step 2: Convert to fraction form
    505.97/698.23 = 284.92/x
  3. Step 3: Cross multiply
    505.97x = 698.23 × 284.92
  4. Step 4: Simplify right side
    505.97x = 198,939.85
  5. Step 5: Solve for x
    x = 198,939.85/505.97
  6. Step 6: Final answer
    x = 393.19

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