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Finding the Fourth Proportional to 375.75, 563.76 and 345.78

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Solution

The fourth proportional to 375.75, 563.76 and 345.78 is: 518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.75 : 563.76 = 345.78 : x
  2. Step 2: Convert to fraction form
    375.75/563.76 = 345.78/x
  3. Step 3: Cross multiply
    375.75x = 563.76 × 345.78
  4. Step 4: Simplify right side
    375.75x = 194,936.93
  5. Step 5: Solve for x
    x = 194,936.93/375.75
  6. Step 6: Final answer
    x = 518.79

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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.