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Finding the Fourth Proportional to 317.69, 438.62 and 205.86

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Solution

The fourth proportional to 317.69, 438.62 and 205.86 is: 284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.69 : 438.62 = 205.86 : x
  2. Step 2: Convert to fraction form
    317.69/438.62 = 205.86/x
  3. Step 3: Cross multiply
    317.69x = 438.62 × 205.86
  4. Step 4: Simplify right side
    317.69x = 90,294.31
  5. Step 5: Solve for x
    x = 90,294.31/317.69
  6. Step 6: Final answer
    x = 284.22

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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.