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Finding the Fourth Proportional to 620.26, 930.41 and 497.95

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Solution

The fourth proportional to 620.26, 930.41 and 497.95 is: 746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.26 : 930.41 = 497.95 : x
  2. Step 2: Convert to fraction form
    620.26/930.41 = 497.95/x
  3. Step 3: Cross multiply
    620.26x = 930.41 × 497.95
  4. Step 4: Simplify right side
    620.26x = 463,297.66
  5. Step 5: Solve for x
    x = 463,297.66/620.26
  6. Step 6: Final answer
    x = 746.94

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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.