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Finding the Fourth Proportional to 285.68, 426.22 and 271.91

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Solution

The fourth proportional to 285.68, 426.22 and 271.91 is: 405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.68 : 426.22 = 271.91 : x
  2. Step 2: Convert to fraction form
    285.68/426.22 = 271.91/x
  3. Step 3: Cross multiply
    285.68x = 426.22 × 271.91
  4. Step 4: Simplify right side
    285.68x = 115,895.40
  5. Step 5: Solve for x
    x = 115,895.40/285.68
  6. Step 6: Final answer
    x = 405.68

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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.