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Finding the Fourth Proportional to 601.74, 829.62 and 380.58

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Solution

The fourth proportional to 601.74, 829.62 and 380.58 is: 524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.74 : 829.62 = 380.58 : x
  2. Step 2: Convert to fraction form
    601.74/829.62 = 380.58/x
  3. Step 3: Cross multiply
    601.74x = 829.62 × 380.58
  4. Step 4: Simplify right side
    601.74x = 315,736.78
  5. Step 5: Solve for x
    x = 315,736.78/601.74
  6. Step 6: Final answer
    x = 524.71

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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.