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Finding the Fourth Proportional to 345.56, 519.36 and 320.09

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Solution

The fourth proportional to 345.56, 519.36 and 320.09 is: 481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.56 : 519.36 = 320.09 : x
  2. Step 2: Convert to fraction form
    345.56/519.36 = 320.09/x
  3. Step 3: Cross multiply
    345.56x = 519.36 × 320.09
  4. Step 4: Simplify right side
    345.56x = 166,240.34
  5. Step 5: Solve for x
    x = 166,240.34/345.56
  6. Step 6: Final answer
    x = 481.08

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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.