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Finding the Fourth Proportional to 411.40, 611.69 and 400.60

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Solution

The fourth proportional to 411.40, 611.69 and 400.60 is: 595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.40 : 611.69 = 400.60 : x
  2. Step 2: Convert to fraction form
    411.40/611.69 = 400.60/x
  3. Step 3: Cross multiply
    411.40x = 611.69 × 400.60
  4. Step 4: Simplify right side
    411.40x = 245,043.01
  5. Step 5: Solve for x
    x = 245,043.01/411.40
  6. Step 6: Final answer
    x = 595.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.