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Finding the Fourth Proportional to 401.14, 599.41 and 351.94

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Solution

The fourth proportional to 401.14, 599.41 and 351.94 is: 525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.14 : 599.41 = 351.94 : x
  2. Step 2: Convert to fraction form
    401.14/599.41 = 351.94/x
  3. Step 3: Cross multiply
    401.14x = 599.41 × 351.94
  4. Step 4: Simplify right side
    401.14x = 210,956.36
  5. Step 5: Solve for x
    x = 210,956.36/401.14
  6. Step 6: Final answer
    x = 525.89

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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.