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Finding the Fourth Proportional to 317.22, 474.84 and 235.05

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Solution

The fourth proportional to 317.22, 474.84 and 235.05 is: 351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.22 : 474.84 = 235.05 : x
  2. Step 2: Convert to fraction form
    317.22/474.84 = 235.05/x
  3. Step 3: Cross multiply
    317.22x = 474.84 × 235.05
  4. Step 4: Simplify right side
    317.22x = 111,611.14
  5. Step 5: Solve for x
    x = 111,611.14/317.22
  6. Step 6: Final answer
    x = 351.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.