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Finding the Fourth Proportional to 601.44, 829.62 and 380.31

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Solution

The fourth proportional to 601.44, 829.62 and 380.31 is: 524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.44 : 829.62 = 380.31 : x
  2. Step 2: Convert to fraction form
    601.44/829.62 = 380.31/x
  3. Step 3: Cross multiply
    601.44x = 829.62 × 380.31
  4. Step 4: Simplify right side
    601.44x = 315,512.78
  5. Step 5: Solve for x
    x = 315,512.78/601.44
  6. Step 6: Final answer
    x = 524.60

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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.