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Finding the Fourth Proportional to 475.05, 712.89 and 231.45

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Solution

The fourth proportional to 475.05, 712.89 and 231.45 is: 347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.05 : 712.89 = 231.45 : x
  2. Step 2: Convert to fraction form
    475.05/712.89 = 231.45/x
  3. Step 3: Cross multiply
    475.05x = 712.89 × 231.45
  4. Step 4: Simplify right side
    475.05x = 164,995.07
  5. Step 5: Solve for x
    x = 164,995.07/475.05
  6. Step 6: Final answer
    x = 347.32

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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.