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Finding the Fourth Proportional to 317.32, 437.64 and 205.23

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Solution

The fourth proportional to 317.32, 437.64 and 205.23 is: 283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.32 : 437.64 = 205.23 : x
  2. Step 2: Convert to fraction form
    317.32/437.64 = 205.23/x
  3. Step 3: Cross multiply
    317.32x = 437.64 × 205.23
  4. Step 4: Simplify right side
    317.32x = 89,817.73
  5. Step 5: Solve for x
    x = 89,817.73/317.32
  6. Step 6: Final answer
    x = 283.05

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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.