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Finding the Fourth Proportional to 319.48, 440.73 and 226.24

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Solution

The fourth proportional to 319.48, 440.73 and 226.24 is: 312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.48 : 440.73 = 226.24 : x
  2. Step 2: Convert to fraction form
    319.48/440.73 = 226.24/x
  3. Step 3: Cross multiply
    319.48x = 440.73 × 226.24
  4. Step 4: Simplify right side
    319.48x = 99,710.76
  5. Step 5: Solve for x
    x = 99,710.76/319.48
  6. Step 6: Final answer
    x = 312.10

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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.