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Finding the Fourth Proportional to 505.69, 697.82 and 319.24

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Solution

The fourth proportional to 505.69, 697.82 and 319.24 is: 440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.69 : 697.82 = 319.24 : x
  2. Step 2: Convert to fraction form
    505.69/697.82 = 319.24/x
  3. Step 3: Cross multiply
    505.69x = 697.82 × 319.24
  4. Step 4: Simplify right side
    505.69x = 222,771.33
  5. Step 5: Solve for x
    x = 222,771.33/505.69
  6. Step 6: Final answer
    x = 440.53

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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.