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Finding the Fourth Proportional to 349.00, 523.01 and 312.21

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Solution

The fourth proportional to 349.00, 523.01 and 312.21 is: 467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.00 : 523.01 = 312.21 : x
  2. Step 2: Convert to fraction form
    349.00/523.01 = 312.21/x
  3. Step 3: Cross multiply
    349.00x = 523.01 × 312.21
  4. Step 4: Simplify right side
    349.00x = 163,289.73
  5. Step 5: Solve for x
    x = 163,289.73/349.00
  6. Step 6: Final answer
    x = 467.88

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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.