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Finding the Fourth Proportional to 349.79, 482.94 and 217.15

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Solution

The fourth proportional to 349.79, 482.94 and 217.15 is: 299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.79 : 482.94 = 217.15 : x
  2. Step 2: Convert to fraction form
    349.79/482.94 = 217.15/x
  3. Step 3: Cross multiply
    349.79x = 482.94 × 217.15
  4. Step 4: Simplify right side
    349.79x = 104,870.64
  5. Step 5: Solve for x
    x = 104,870.64/349.79
  6. Step 6: Final answer
    x = 299.81

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Why These Related Problems?

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