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Finding the Fourth Proportional to 474.86, 712.38 and 231.50

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Solution

The fourth proportional to 474.86, 712.38 and 231.50 is: 347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.86 : 712.38 = 231.50 : x
  2. Step 2: Convert to fraction form
    474.86/712.38 = 231.50/x
  3. Step 3: Cross multiply
    474.86x = 712.38 × 231.50
  4. Step 4: Simplify right side
    474.86x = 164,915.97
  5. Step 5: Solve for x
    x = 164,915.97/474.86
  6. Step 6: Final answer
    x = 347.29

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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.