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Finding the Fourth Proportional to 374.71, 517.14 and 217.36

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Solution

The fourth proportional to 374.71, 517.14 and 217.36 is: 299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.71 : 517.14 = 217.36 : x
  2. Step 2: Convert to fraction form
    374.71/517.14 = 217.36/x
  3. Step 3: Cross multiply
    374.71x = 517.14 × 217.36
  4. Step 4: Simplify right side
    374.71x = 112,405.55
  5. Step 5: Solve for x
    x = 112,405.55/374.71
  6. Step 6: Final answer
    x = 299.98

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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.