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Finding the Fourth Proportional to 317.46, 438.12 and 219.27

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Solution

The fourth proportional to 317.46, 438.12 and 219.27 is: 302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.46 : 438.12 = 219.27 : x
  2. Step 2: Convert to fraction form
    317.46/438.12 = 219.27/x
  3. Step 3: Cross multiply
    317.46x = 438.12 × 219.27
  4. Step 4: Simplify right side
    317.46x = 96,066.57
  5. Step 5: Solve for x
    x = 96,066.57/317.46
  6. Step 6: Final answer
    x = 302.61

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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.