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Finding the Fourth Proportional to 375.89, 559.10 and 344.90

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Solution

The fourth proportional to 375.89, 559.10 and 344.90 is: 513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.89 : 559.10 = 344.90 : x
  2. Step 2: Convert to fraction form
    375.89/559.10 = 344.90/x
  3. Step 3: Cross multiply
    375.89x = 559.10 × 344.90
  4. Step 4: Simplify right side
    375.89x = 192,835.85
  5. Step 5: Solve for x
    x = 192,835.85/375.89
  6. Step 6: Final answer
    x = 513.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.