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Finding the Fourth Proportional to 601.28, 829.89 and 352.73

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Solution

The fourth proportional to 601.28, 829.89 and 352.73 is: 486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.28 : 829.89 = 352.73 : x
  2. Step 2: Convert to fraction form
    601.28/829.89 = 352.73/x
  3. Step 3: Cross multiply
    601.28x = 829.89 × 352.73
  4. Step 4: Simplify right side
    601.28x = 292,727.10
  5. Step 5: Solve for x
    x = 292,727.10/601.28
  6. Step 6: Final answer
    x = 486.84

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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.