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Finding the Fourth Proportional to 505.73, 697.92 and 296.06

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Solution

The fourth proportional to 505.73, 697.92 and 296.06 is: 408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.73 : 697.92 = 296.06 : x
  2. Step 2: Convert to fraction form
    505.73/697.92 = 296.06/x
  3. Step 3: Cross multiply
    505.73x = 697.92 × 296.06
  4. Step 4: Simplify right side
    505.73x = 206,626.20
  5. Step 5: Solve for x
    x = 206,626.20/505.73
  6. Step 6: Final answer
    x = 408.57

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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.