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Finding the Fourth Proportional to 622.47, 930.97 and 498.54

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Solution

The fourth proportional to 622.47, 930.97 and 498.54 is: 745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.47 : 930.97 = 498.54 : x
  2. Step 2: Convert to fraction form
    622.47/930.97 = 498.54/x
  3. Step 3: Cross multiply
    622.47x = 930.97 × 498.54
  4. Step 4: Simplify right side
    622.47x = 464,125.78
  5. Step 5: Solve for x
    x = 464,125.78/622.47
  6. Step 6: Final answer
    x = 745.62

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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.