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Finding the Fourth Proportional to 493.28, 741.27 and 475.05

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Solution

The fourth proportional to 493.28, 741.27 and 475.05 is: 713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.28 : 741.27 = 475.05 : x
  2. Step 2: Convert to fraction form
    493.28/741.27 = 475.05/x
  3. Step 3: Cross multiply
    493.28x = 741.27 × 475.05
  4. Step 4: Simplify right side
    493.28x = 352,140.31
  5. Step 5: Solve for x
    x = 352,140.31/493.28
  6. Step 6: Final answer
    x = 713.88

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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.