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Finding the Fourth Proportional to 317.92, 438.24 and 219.51

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Solution

The fourth proportional to 317.92, 438.24 and 219.51 is: 302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.92 : 438.24 = 219.51 : x
  2. Step 2: Convert to fraction form
    317.92/438.24 = 219.51/x
  3. Step 3: Cross multiply
    317.92x = 438.24 × 219.51
  4. Step 4: Simplify right side
    317.92x = 96,195.87
  5. Step 5: Solve for x
    x = 96,195.87/317.92
  6. Step 6: Final answer
    x = 302.58

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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.