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Finding the Fourth Proportional to 505.86, 698.11 and 293.19

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Solution

The fourth proportional to 505.86, 698.11 and 293.19 is: 404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.86 : 698.11 = 293.19 : x
  2. Step 2: Convert to fraction form
    505.86/698.11 = 293.19/x
  3. Step 3: Cross multiply
    505.86x = 698.11 × 293.19
  4. Step 4: Simplify right side
    505.86x = 204,675.52
  5. Step 5: Solve for x
    x = 204,675.52/505.86
  6. Step 6: Final answer
    x = 404.61

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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.