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Finding the Fourth Proportional to 601.73, 830.45 and 353.11

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Solution

The fourth proportional to 601.73, 830.45 and 353.11 is: 487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.73 : 830.45 = 353.11 : x
  2. Step 2: Convert to fraction form
    601.73/830.45 = 353.11/x
  3. Step 3: Cross multiply
    601.73x = 830.45 × 353.11
  4. Step 4: Simplify right side
    601.73x = 293,240.56
  5. Step 5: Solve for x
    x = 293,240.56/601.73
  6. Step 6: Final answer
    x = 487.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.