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Finding the Fourth Proportional to 395.98, 594.02 and 179.53

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Solution

The fourth proportional to 395.98, 594.02 and 179.53 is: 269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.98 : 594.02 = 179.53 : x
  2. Step 2: Convert to fraction form
    395.98/594.02 = 179.53/x
  3. Step 3: Cross multiply
    395.98x = 594.02 × 179.53
  4. Step 4: Simplify right side
    395.98x = 106,643.51
  5. Step 5: Solve for x
    x = 106,643.51/395.98
  6. Step 6: Final answer
    x = 269.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.