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Finding the Fourth Proportional to 505.85, 698.26 and 319.46

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Solution

The fourth proportional to 505.85, 698.26 and 319.46 is: 440.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.85 : 698.26 = 319.46 : x
  2. Step 2: Convert to fraction form
    505.85/698.26 = 319.46/x
  3. Step 3: Cross multiply
    505.85x = 698.26 × 319.46
  4. Step 4: Simplify right side
    505.85x = 223,064.54
  5. Step 5: Solve for x
    x = 223,064.54/505.85
  6. Step 6: Final answer
    x = 440.97

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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.