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Finding the Fourth Proportional to 505.81, 697.71 and 319.12

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Solution

The fourth proportional to 505.81, 697.71 and 319.12 is: 440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.81 : 697.71 = 319.12 : x
  2. Step 2: Convert to fraction form
    505.81/697.71 = 319.12/x
  3. Step 3: Cross multiply
    505.81x = 697.71 × 319.12
  4. Step 4: Simplify right side
    505.81x = 222,653.22
  5. Step 5: Solve for x
    x = 222,653.22/505.81
  6. Step 6: Final answer
    x = 440.19

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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.