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Finding the Fourth Proportional to 620.10, 930.26 and 505.55

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Solution

The fourth proportional to 620.10, 930.26 and 505.55 is: 758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.10 : 930.26 = 505.55 : x
  2. Step 2: Convert to fraction form
    620.10/930.26 = 505.55/x
  3. Step 3: Cross multiply
    620.10x = 930.26 × 505.55
  4. Step 4: Simplify right side
    620.10x = 470,285.76
  5. Step 5: Solve for x
    x = 470,285.76/620.10
  6. Step 6: Final answer
    x = 758.41

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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.