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Finding the Fourth Proportional to 601.49, 829.74 and 380.06

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Solution

The fourth proportional to 601.49, 829.74 and 380.06 is: 524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.49 : 829.74 = 380.06 : x
  2. Step 2: Convert to fraction form
    601.49/829.74 = 380.06/x
  3. Step 3: Cross multiply
    601.49x = 829.74 × 380.06
  4. Step 4: Simplify right side
    601.49x = 315,351.37
  5. Step 5: Solve for x
    x = 315,351.37/601.49
  6. Step 6: Final answer
    x = 524.28

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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.