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Finding the Fourth Proportional to 403.40, 605.37 and 259.22

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Solution

The fourth proportional to 403.40, 605.37 and 259.22 is: 389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.40 : 605.37 = 259.22 : x
  2. Step 2: Convert to fraction form
    403.40/605.37 = 259.22/x
  3. Step 3: Cross multiply
    403.40x = 605.37 × 259.22
  4. Step 4: Simplify right side
    403.40x = 156,919.69
  5. Step 5: Solve for x
    x = 156,919.69/403.40
  6. Step 6: Final answer
    x = 389.00

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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.