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Finding the Fourth Proportional to 620.16, 930.24 and 497.82

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Solution

The fourth proportional to 620.16, 930.24 and 497.82 is: 746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.16 : 930.24 = 497.82 : x
  2. Step 2: Convert to fraction form
    620.16/930.24 = 497.82/x
  3. Step 3: Cross multiply
    620.16x = 930.24 × 497.82
  4. Step 4: Simplify right side
    620.16x = 463,092.08
  5. Step 5: Solve for x
    x = 463,092.08/620.16
  6. Step 6: Final answer
    x = 746.73

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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.