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Finding the Fourth Proportional to 366.70, 505.84 and 219.24

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Solution

The fourth proportional to 366.70, 505.84 and 219.24 is: 302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.70 : 505.84 = 219.24 : x
  2. Step 2: Convert to fraction form
    366.70/505.84 = 219.24/x
  3. Step 3: Cross multiply
    366.70x = 505.84 × 219.24
  4. Step 4: Simplify right side
    366.70x = 110,900.36
  5. Step 5: Solve for x
    x = 110,900.36/366.70
  6. Step 6: Final answer
    x = 302.43

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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.