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Finding the Fourth Proportional to 315.57, 473.79 and 193.44

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Solution

The fourth proportional to 315.57, 473.79 and 193.44 is: 290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.57 : 473.79 = 193.44 : x
  2. Step 2: Convert to fraction form
    315.57/473.79 = 193.44/x
  3. Step 3: Cross multiply
    315.57x = 473.79 × 193.44
  4. Step 4: Simplify right side
    315.57x = 91,649.94
  5. Step 5: Solve for x
    x = 91,649.94/315.57
  6. Step 6: Final answer
    x = 290.43

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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.