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Finding the Fourth Proportional to 400.34, 599.70 and 194.28

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Solution

The fourth proportional to 400.34, 599.70 and 194.28 is: 291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.34 : 599.70 = 194.28 : x
  2. Step 2: Convert to fraction form
    400.34/599.70 = 194.28/x
  3. Step 3: Cross multiply
    400.34x = 599.70 × 194.28
  4. Step 4: Simplify right side
    400.34x = 116,509.72
  5. Step 5: Solve for x
    x = 116,509.72/400.34
  6. Step 6: Final answer
    x = 291.03

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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.