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Finding the Fourth Proportional to 620.21, 930.38 and 584.57

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Solution

The fourth proportional to 620.21, 930.38 and 584.57 is: 876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.21 : 930.38 = 584.57 : x
  2. Step 2: Convert to fraction form
    620.21/930.38 = 584.57/x
  3. Step 3: Cross multiply
    620.21x = 930.38 × 584.57
  4. Step 4: Simplify right side
    620.21x = 543,864.66
  5. Step 5: Solve for x
    x = 543,864.66/620.21
  6. Step 6: Final answer
    x = 876.91

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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.