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Finding the Fourth Proportional to 349.62, 525.31 and 226.30

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Solution

The fourth proportional to 349.62, 525.31 and 226.30 is: 340.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.62 : 525.31 = 226.30 : x
  2. Step 2: Convert to fraction form
    349.62/525.31 = 226.30/x
  3. Step 3: Cross multiply
    349.62x = 525.31 × 226.30
  4. Step 4: Simplify right side
    349.62x = 118,877.65
  5. Step 5: Solve for x
    x = 118,877.65/349.62
  6. Step 6: Final answer
    x = 340.02

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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.