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Finding the Fourth Proportional to 601.78, 830.44 and 353.11

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Solution

The fourth proportional to 601.78, 830.44 and 353.11 is: 487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.78 : 830.44 = 353.11 : x
  2. Step 2: Convert to fraction form
    601.78/830.44 = 353.11/x
  3. Step 3: Cross multiply
    601.78x = 830.44 × 353.11
  4. Step 4: Simplify right side
    601.78x = 293,236.67
  5. Step 5: Solve for x
    x = 293,236.67/601.78
  6. Step 6: Final answer
    x = 487.28

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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.