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Finding the Fourth Proportional to 400.29, 599.22 and 290.40

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Solution

The fourth proportional to 400.29, 599.22 and 290.40 is: 434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.29 : 599.22 = 290.40 : x
  2. Step 2: Convert to fraction form
    400.29/599.22 = 290.40/x
  3. Step 3: Cross multiply
    400.29x = 599.22 × 290.40
  4. Step 4: Simplify right side
    400.29x = 174,013.49
  5. Step 5: Solve for x
    x = 174,013.49/400.29
  6. Step 6: Final answer
    x = 434.72

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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.