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Finding the Fourth Proportional to 375.65, 563.57 and 193.04

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Solution

The fourth proportional to 375.65, 563.57 and 193.04 is: 289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.65 : 563.57 = 193.04 : x
  2. Step 2: Convert to fraction form
    375.65/563.57 = 193.04/x
  3. Step 3: Cross multiply
    375.65x = 563.57 × 193.04
  4. Step 4: Simplify right side
    375.65x = 108,791.55
  5. Step 5: Solve for x
    x = 108,791.55/375.65
  6. Step 6: Final answer
    x = 289.61

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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.