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Finding the Fourth Proportional to 412.16, 619.31 and 310.40

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Solution

The fourth proportional to 412.16, 619.31 and 310.40 is: 466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.16 : 619.31 = 310.40 : x
  2. Step 2: Convert to fraction form
    412.16/619.31 = 310.40/x
  3. Step 3: Cross multiply
    412.16x = 619.31 × 310.40
  4. Step 4: Simplify right side
    412.16x = 192,235.56
  5. Step 5: Solve for x
    x = 192,235.56/412.16
  6. Step 6: Final answer
    x = 466.41

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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.