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Finding the Fourth Proportional to 349.70, 482.56 and 216.86

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Solution

The fourth proportional to 349.70, 482.56 and 216.86 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.70 : 482.56 = 216.86 : x
  2. Step 2: Convert to fraction form
    349.70/482.56 = 216.86/x
  3. Step 3: Cross multiply
    349.70x = 482.56 × 216.86
  4. Step 4: Simplify right side
    349.70x = 104,647.96
  5. Step 5: Solve for x
    x = 104,647.96/349.70
  6. Step 6: Final answer
    x = 299.25

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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.