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Finding the Fourth Proportional to 494.75, 737.28 and 465.54

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Solution

The fourth proportional to 494.75, 737.28 and 465.54 is: 693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.75 : 737.28 = 465.54 : x
  2. Step 2: Convert to fraction form
    494.75/737.28 = 465.54/x
  3. Step 3: Cross multiply
    494.75x = 737.28 × 465.54
  4. Step 4: Simplify right side
    494.75x = 343,233.33
  5. Step 5: Solve for x
    x = 343,233.33/494.75
  6. Step 6: Final answer
    x = 693.75

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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.