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Finding the Fourth Proportional to 376.89, 565.02 and 203.46

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Solution

The fourth proportional to 376.89, 565.02 and 203.46 is: 305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.89 : 565.02 = 203.46 : x
  2. Step 2: Convert to fraction form
    376.89/565.02 = 203.46/x
  3. Step 3: Cross multiply
    376.89x = 565.02 × 203.46
  4. Step 4: Simplify right side
    376.89x = 114,958.97
  5. Step 5: Solve for x
    x = 114,958.97/376.89
  6. Step 6: Final answer
    x = 305.02

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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.