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Finding the Fourth Proportional to 601.23, 829.64 and 335.66

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Solution

The fourth proportional to 601.23, 829.64 and 335.66 is: 463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.23 : 829.64 = 335.66 : x
  2. Step 2: Convert to fraction form
    601.23/829.64 = 335.66/x
  3. Step 3: Cross multiply
    601.23x = 829.64 × 335.66
  4. Step 4: Simplify right side
    601.23x = 278,471.14
  5. Step 5: Solve for x
    x = 278,471.14/601.23
  6. Step 6: Final answer
    x = 463.17

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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.