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Finding the Fourth Proportional to 412.85, 618.10 and 275.63

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Solution

The fourth proportional to 412.85, 618.10 and 275.63 is: 412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.85 : 618.10 = 275.63 : x
  2. Step 2: Convert to fraction form
    412.85/618.10 = 275.63/x
  3. Step 3: Cross multiply
    412.85x = 618.10 × 275.63
  4. Step 4: Simplify right side
    412.85x = 170,363.12
  5. Step 5: Solve for x
    x = 170,363.12/412.85
  6. Step 6: Final answer
    x = 412.65

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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.