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Finding the Fourth Proportional to 601.36, 829.94 and 368.44

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Solution

The fourth proportional to 601.36, 829.94 and 368.44 is: 508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.36 : 829.94 = 368.44 : x
  2. Step 2: Convert to fraction form
    601.36/829.94 = 368.44/x
  3. Step 3: Cross multiply
    601.36x = 829.94 × 368.44
  4. Step 4: Simplify right side
    601.36x = 305,783.09
  5. Step 5: Solve for x
    x = 305,783.09/601.36
  6. Step 6: Final answer
    x = 508.49

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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.