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Finding the Fourth Proportional to 467.31, 699.99 and 235.50

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Solution

The fourth proportional to 467.31, 699.99 and 235.50 is: 352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.31 : 699.99 = 235.50 : x
  2. Step 2: Convert to fraction form
    467.31/699.99 = 235.50/x
  3. Step 3: Cross multiply
    467.31x = 699.99 × 235.50
  4. Step 4: Simplify right side
    467.31x = 164,847.65
  5. Step 5: Solve for x
    x = 164,847.65/467.31
  6. Step 6: Final answer
    x = 352.76

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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.