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Finding the Fourth Proportional to 364.40, 502.96 and 216.96

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Solution

The fourth proportional to 364.40, 502.96 and 216.96 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.40 : 502.96 = 216.96 : x
  2. Step 2: Convert to fraction form
    364.40/502.96 = 216.96/x
  3. Step 3: Cross multiply
    364.40x = 502.96 × 216.96
  4. Step 4: Simplify right side
    364.40x = 109,122.20
  5. Step 5: Solve for x
    x = 109,122.20/364.40
  6. Step 6: Final answer
    x = 299.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.