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Finding the Fourth Proportional to 493.11, 735.25 and 475.32

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Solution

The fourth proportional to 493.11, 735.25 and 475.32 is: 708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.11 : 735.25 = 475.32 : x
  2. Step 2: Convert to fraction form
    493.11/735.25 = 475.32/x
  3. Step 3: Cross multiply
    493.11x = 735.25 × 475.32
  4. Step 4: Simplify right side
    493.11x = 349,480.52
  5. Step 5: Solve for x
    x = 349,480.52/493.11
  6. Step 6: Final answer
    x = 708.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.