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Finding the Fourth Proportional to 401.09, 601.17 and 285.81

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Solution

The fourth proportional to 401.09, 601.17 and 285.81 is: 428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.09 : 601.17 = 285.81 : x
  2. Step 2: Convert to fraction form
    401.09/601.17 = 285.81/x
  3. Step 3: Cross multiply
    401.09x = 601.17 × 285.81
  4. Step 4: Simplify right side
    401.09x = 171,820.40
  5. Step 5: Solve for x
    x = 171,820.40/401.09
  6. Step 6: Final answer
    x = 428.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.