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Finding the Fourth Proportional to 400.69, 601.01 and 140.70

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Solution

The fourth proportional to 400.69, 601.01 and 140.70 is: 211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.69 : 601.01 = 140.70 : x
  2. Step 2: Convert to fraction form
    400.69/601.01 = 140.70/x
  3. Step 3: Cross multiply
    400.69x = 601.01 × 140.70
  4. Step 4: Simplify right side
    400.69x = 84,561.40
  5. Step 5: Solve for x
    x = 84,561.40/400.69
  6. Step 6: Final answer
    x = 211.04

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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.