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Finding the Fourth Proportional to 620.10, 930.15 and 412.20

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Solution

The fourth proportional to 620.10, 930.15 and 412.20 is: 618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.10 : 930.15 = 412.20 : x
  2. Step 2: Convert to fraction form
    620.10/930.15 = 412.20/x
  3. Step 3: Cross multiply
    620.10x = 930.15 × 412.20
  4. Step 4: Simplify right side
    620.10x = 383,407.83
  5. Step 5: Solve for x
    x = 383,407.83/620.10
  6. Step 6: Final answer
    x = 618.30

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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.