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Finding the Fourth Proportional to 601.34, 829.87 and 335.78

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Solution

The fourth proportional to 601.34, 829.87 and 335.78 is: 463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.34 : 829.87 = 335.78 : x
  2. Step 2: Convert to fraction form
    601.34/829.87 = 335.78/x
  3. Step 3: Cross multiply
    601.34x = 829.87 × 335.78
  4. Step 4: Simplify right side
    601.34x = 278,651.07
  5. Step 5: Solve for x
    x = 278,651.07/601.34
  6. Step 6: Final answer
    x = 463.38

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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.