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Finding the Fourth Proportional to 620.82, 931.62 and 296.20

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Solution

The fourth proportional to 620.82, 931.62 and 296.20 is: 444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.82 : 931.62 = 296.20 : x
  2. Step 2: Convert to fraction form
    620.82/931.62 = 296.20/x
  3. Step 3: Cross multiply
    620.82x = 931.62 × 296.20
  4. Step 4: Simplify right side
    620.82x = 275,945.84
  5. Step 5: Solve for x
    x = 275,945.84/620.82
  6. Step 6: Final answer
    x = 444.49

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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.