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Finding the Fourth Proportional to 475.12, 711.02 and 376.75

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Solution

The fourth proportional to 475.12, 711.02 and 376.75 is: 563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.12 : 711.02 = 376.75 : x
  2. Step 2: Convert to fraction form
    475.12/711.02 = 376.75/x
  3. Step 3: Cross multiply
    475.12x = 711.02 × 376.75
  4. Step 4: Simplify right side
    475.12x = 267,876.79
  5. Step 5: Solve for x
    x = 267,876.79/475.12
  6. Step 6: Final answer
    x = 563.81

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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.