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Finding the Fourth Proportional to 475.14, 711.78 and 231.30

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Solution

The fourth proportional to 475.14, 711.78 and 231.30 is: 346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.14 : 711.78 = 231.30 : x
  2. Step 2: Convert to fraction form
    475.14/711.78 = 231.30/x
  3. Step 3: Cross multiply
    475.14x = 711.78 × 231.30
  4. Step 4: Simplify right side
    475.14x = 164,634.71
  5. Step 5: Solve for x
    x = 164,634.71/475.14
  6. Step 6: Final answer
    x = 346.50

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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.