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Finding the Fourth Proportional to 318.42, 438.77 and 225.27

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Solution

The fourth proportional to 318.42, 438.77 and 225.27 is: 310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.42 : 438.77 = 225.27 : x
  2. Step 2: Convert to fraction form
    318.42/438.77 = 225.27/x
  3. Step 3: Cross multiply
    318.42x = 438.77 × 225.27
  4. Step 4: Simplify right side
    318.42x = 98,840.59
  5. Step 5: Solve for x
    x = 98,840.59/318.42
  6. Step 6: Final answer
    x = 310.41

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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.