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Finding the Fourth Proportional to 399.40, 598.74 and 216.94

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Solution

The fourth proportional to 399.40, 598.74 and 216.94 is: 325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.40 : 598.74 = 216.94 : x
  2. Step 2: Convert to fraction form
    399.40/598.74 = 216.94/x
  3. Step 3: Cross multiply
    399.40x = 598.74 × 216.94
  4. Step 4: Simplify right side
    399.40x = 129,890.66
  5. Step 5: Solve for x
    x = 129,890.66/399.40
  6. Step 6: Final answer
    x = 325.21

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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.