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Finding the Fourth Proportional to 401.40, 601.80 and 170.10

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Solution

The fourth proportional to 401.40, 601.80 and 170.10 is: 255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.40 : 601.80 = 170.10 : x
  2. Step 2: Convert to fraction form
    401.40/601.80 = 170.10/x
  3. Step 3: Cross multiply
    401.40x = 601.80 × 170.10
  4. Step 4: Simplify right side
    401.40x = 102,366.18
  5. Step 5: Solve for x
    x = 102,366.18/401.40
  6. Step 6: Final answer
    x = 255.02

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