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Finding the Fourth Proportional to 412.10, 616.62 and 275.48

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Solution

The fourth proportional to 412.10, 616.62 and 275.48 is: 412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.10 : 616.62 = 275.48 : x
  2. Step 2: Convert to fraction form
    412.10/616.62 = 275.48/x
  3. Step 3: Cross multiply
    412.10x = 616.62 × 275.48
  4. Step 4: Simplify right side
    412.10x = 169,866.48
  5. Step 5: Solve for x
    x = 169,866.48/412.10
  6. Step 6: Final answer
    x = 412.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.