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Finding the Fourth Proportional to 601.26, 829.80 and 352.66

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Solution

The fourth proportional to 601.26, 829.80 and 352.66 is: 486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.26 : 829.80 = 352.66 : x
  2. Step 2: Convert to fraction form
    601.26/829.80 = 352.66/x
  3. Step 3: Cross multiply
    601.26x = 829.80 × 352.66
  4. Step 4: Simplify right side
    601.26x = 292,637.27
  5. Step 5: Solve for x
    x = 292,637.27/601.26
  6. Step 6: Final answer
    x = 486.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.