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Finding the Fourth Proportional to 601.21, 829.70 and 352.50

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Solution

The fourth proportional to 601.21, 829.70 and 352.50 is: 486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.21 : 829.70 = 352.50 : x
  2. Step 2: Convert to fraction form
    601.21/829.70 = 352.50/x
  3. Step 3: Cross multiply
    601.21x = 829.70 × 352.50
  4. Step 4: Simplify right side
    601.21x = 292,469.25
  5. Step 5: Solve for x
    x = 292,469.25/601.21
  6. Step 6: Final answer
    x = 486.47

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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.