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Finding the Fourth Proportional to 601.83, 829.89 and 461.97

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Solution

The fourth proportional to 601.83, 829.89 and 461.97 is: 637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.83 : 829.89 = 461.97 : x
  2. Step 2: Convert to fraction form
    601.83/829.89 = 461.97/x
  3. Step 3: Cross multiply
    601.83x = 829.89 × 461.97
  4. Step 4: Simplify right side
    601.83x = 383,384.28
  5. Step 5: Solve for x
    x = 383,384.28/601.83
  6. Step 6: Final answer
    x = 637.03

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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.