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Finding the Fourth Proportional to 395.50, 593.93 and 374.98

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Solution

The fourth proportional to 395.50, 593.93 and 374.98 is: 563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.50 : 593.93 = 374.98 : x
  2. Step 2: Convert to fraction form
    395.50/593.93 = 374.98/x
  3. Step 3: Cross multiply
    395.50x = 593.93 × 374.98
  4. Step 4: Simplify right side
    395.50x = 222,711.87
  5. Step 5: Solve for x
    x = 222,711.87/395.50
  6. Step 6: Final answer
    x = 563.11

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Why These Related Problems?

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