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Finding the Fourth Proportional to 472.28, 707.50 and 228.97

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Solution

The fourth proportional to 472.28, 707.50 and 228.97 is: 343.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.28 : 707.50 = 228.97 : x
  2. Step 2: Convert to fraction form
    472.28/707.50 = 228.97/x
  3. Step 3: Cross multiply
    472.28x = 707.50 × 228.97
  4. Step 4: Simplify right side
    472.28x = 161,996.28
  5. Step 5: Solve for x
    x = 161,996.28/472.28
  6. Step 6: Final answer
    x = 343.01

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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.