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Finding the Fourth Proportional to 471.92, 707.24 and 228.56

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Solution

The fourth proportional to 471.92, 707.24 and 228.56 is: 342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.92 : 707.24 = 228.56 : x
  2. Step 2: Convert to fraction form
    471.92/707.24 = 228.56/x
  3. Step 3: Cross multiply
    471.92x = 707.24 × 228.56
  4. Step 4: Simplify right side
    471.92x = 161,646.77
  5. Step 5: Solve for x
    x = 161,646.77/471.92
  6. Step 6: Final answer
    x = 342.53

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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.