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Finding the Fourth Proportional to 601.17, 829.71 and 349.06

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Solution

The fourth proportional to 601.17, 829.71 and 349.06 is: 481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.17 : 829.71 = 349.06 : x
  2. Step 2: Convert to fraction form
    601.17/829.71 = 349.06/x
  3. Step 3: Cross multiply
    601.17x = 829.71 × 349.06
  4. Step 4: Simplify right side
    601.17x = 289,616.25
  5. Step 5: Solve for x
    x = 289,616.25/601.17
  6. Step 6: Final answer
    x = 481.76

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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.