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Finding the Fourth Proportional to 620.87, 930.82 and 278.63

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Solution

The fourth proportional to 620.87, 930.82 and 278.63 is: 417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.87 : 930.82 = 278.63 : x
  2. Step 2: Convert to fraction form
    620.87/930.82 = 278.63/x
  3. Step 3: Cross multiply
    620.87x = 930.82 × 278.63
  4. Step 4: Simplify right side
    620.87x = 259,349.03
  5. Step 5: Solve for x
    x = 259,349.03/620.87
  6. Step 6: Final answer
    x = 417.72

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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.