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Finding the Fourth Proportional to 412.64, 619.92 and 356.96

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Solution

The fourth proportional to 412.64, 619.92 and 356.96 is: 536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.64 : 619.92 = 356.96 : x
  2. Step 2: Convert to fraction form
    412.64/619.92 = 356.96/x
  3. Step 3: Cross multiply
    412.64x = 619.92 × 356.96
  4. Step 4: Simplify right side
    412.64x = 221,286.64
  5. Step 5: Solve for x
    x = 221,286.64/412.64
  6. Step 6: Final answer
    x = 536.27

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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.