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Finding the Fourth Proportional to 601.37, 829.85 and 352.73

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Solution

The fourth proportional to 601.37, 829.85 and 352.73 is: 486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.37 : 829.85 = 352.73 : x
  2. Step 2: Convert to fraction form
    601.37/829.85 = 352.73/x
  3. Step 3: Cross multiply
    601.37x = 829.85 × 352.73
  4. Step 4: Simplify right side
    601.37x = 292,709.72
  5. Step 5: Solve for x
    x = 292,709.72/601.37
  6. Step 6: Final answer
    x = 486.74

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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.