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Finding the Fourth Proportional to 412.76, 619.28 and 275.42

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Solution

The fourth proportional to 412.76, 619.28 and 275.42 is: 413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.76 : 619.28 = 275.42 : x
  2. Step 2: Convert to fraction form
    412.76/619.28 = 275.42/x
  3. Step 3: Cross multiply
    412.76x = 619.28 × 275.42
  4. Step 4: Simplify right side
    412.76x = 170,562.10
  5. Step 5: Solve for x
    x = 170,562.10/412.76
  6. Step 6: Final answer
    x = 413.22

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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.