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Finding the Fourth Proportional to 620.53, 930.39 and 296.26

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Solution

The fourth proportional to 620.53, 930.39 and 296.26 is: 444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.53 : 930.39 = 296.26 : x
  2. Step 2: Convert to fraction form
    620.53/930.39 = 296.26/x
  3. Step 3: Cross multiply
    620.53x = 930.39 × 296.26
  4. Step 4: Simplify right side
    620.53x = 275,637.34
  5. Step 5: Solve for x
    x = 275,637.34/620.53
  6. Step 6: Final answer
    x = 444.20

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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.