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Finding the Fourth Proportional to 642.99, 964.26 and 252.96

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Solution

The fourth proportional to 642.99, 964.26 and 252.96 is: 379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.99 : 964.26 = 252.96 : x
  2. Step 2: Convert to fraction form
    642.99/964.26 = 252.96/x
  3. Step 3: Cross multiply
    642.99x = 964.26 × 252.96
  4. Step 4: Simplify right side
    642.99x = 243,919.21
  5. Step 5: Solve for x
    x = 243,919.21/642.99
  6. Step 6: Final answer
    x = 379.35

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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.