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Finding the Fourth Proportional to 318.22, 474.86 and 281.77

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Solution

The fourth proportional to 318.22, 474.86 and 281.77 is: 420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.22 : 474.86 = 281.77 : x
  2. Step 2: Convert to fraction form
    318.22/474.86 = 281.77/x
  3. Step 3: Cross multiply
    318.22x = 474.86 × 281.77
  4. Step 4: Simplify right side
    318.22x = 133,801.30
  5. Step 5: Solve for x
    x = 133,801.30/318.22
  6. Step 6: Final answer
    x = 420.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.