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Finding the Fourth Proportional to 471.78, 707.85 and 228.27

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Solution

The fourth proportional to 471.78, 707.85 and 228.27 is: 342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.78 : 707.85 = 228.27 : x
  2. Step 2: Convert to fraction form
    471.78/707.85 = 228.27/x
  3. Step 3: Cross multiply
    471.78x = 707.85 × 228.27
  4. Step 4: Simplify right side
    471.78x = 161,580.92
  5. Step 5: Solve for x
    x = 161,580.92/471.78
  6. Step 6: Final answer
    x = 342.49

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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.