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Finding the Fourth Proportional to 319.23, 440.17 and 301.93

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Solution

The fourth proportional to 319.23, 440.17 and 301.93 is: 416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.23 : 440.17 = 301.93 : x
  2. Step 2: Convert to fraction form
    319.23/440.17 = 301.93/x
  3. Step 3: Cross multiply
    319.23x = 440.17 × 301.93
  4. Step 4: Simplify right side
    319.23x = 132,898.67
  5. Step 5: Solve for x
    x = 132,898.67/319.23
  6. Step 6: Final answer
    x = 416.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.