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Finding the Fourth Proportional to 505.88, 698.05 and 296.12

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Solution

The fourth proportional to 505.88, 698.05 and 296.12 is: 408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.88 : 698.05 = 296.12 : x
  2. Step 2: Convert to fraction form
    505.88/698.05 = 296.12/x
  3. Step 3: Cross multiply
    505.88x = 698.05 × 296.12
  4. Step 4: Simplify right side
    505.88x = 206,706.57
  5. Step 5: Solve for x
    x = 206,706.57/505.88
  6. Step 6: Final answer
    x = 408.61

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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.