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Finding the Fourth Proportional to 259.35, 389.29 and 216.30

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Solution

The fourth proportional to 259.35, 389.29 and 216.30 is: 324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.35 : 389.29 = 216.30 : x
  2. Step 2: Convert to fraction form
    259.35/389.29 = 216.30/x
  3. Step 3: Cross multiply
    259.35x = 389.29 × 216.30
  4. Step 4: Simplify right side
    259.35x = 84,200.40
  5. Step 5: Solve for x
    x = 84,200.40/259.35
  6. Step 6: Final answer
    x = 324.66

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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.