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Finding the Fourth Proportional to 601.46, 829.47 and 380.03

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Solution

The fourth proportional to 601.46, 829.47 and 380.03 is: 524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.46 : 829.47 = 380.03 : x
  2. Step 2: Convert to fraction form
    601.46/829.47 = 380.03/x
  3. Step 3: Cross multiply
    601.46x = 829.47 × 380.03
  4. Step 4: Simplify right side
    601.46x = 315,217.44
  5. Step 5: Solve for x
    x = 315,217.44/601.46
  6. Step 6: Final answer
    x = 524.09

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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.