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Finding the Fourth Proportional to 401.54, 601.84 and 170.38

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Solution

The fourth proportional to 401.54, 601.84 and 170.38 is: 255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.54 : 601.84 = 170.38 : x
  2. Step 2: Convert to fraction form
    401.54/601.84 = 170.38/x
  3. Step 3: Cross multiply
    401.54x = 601.84 × 170.38
  4. Step 4: Simplify right side
    401.54x = 102,541.50
  5. Step 5: Solve for x
    x = 102,541.50/401.54
  6. Step 6: Final answer
    x = 255.37

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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.