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Finding the Fourth Proportional to 401.36, 601.62 and 257.12

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Solution

The fourth proportional to 401.36, 601.62 and 257.12 is: 385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.36 : 601.62 = 257.12 : x
  2. Step 2: Convert to fraction form
    401.36/601.62 = 257.12/x
  3. Step 3: Cross multiply
    401.36x = 601.62 × 257.12
  4. Step 4: Simplify right side
    401.36x = 154,688.53
  5. Step 5: Solve for x
    x = 154,688.53/401.36
  6. Step 6: Final answer
    x = 385.41

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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.