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Finding the Fourth Proportional to 442.21, 662.20 and 312.34

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Solution

The fourth proportional to 442.21, 662.20 and 312.34 is: 467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.21 : 662.20 = 312.34 : x
  2. Step 2: Convert to fraction form
    442.21/662.20 = 312.34/x
  3. Step 3: Cross multiply
    442.21x = 662.20 × 312.34
  4. Step 4: Simplify right side
    442.21x = 206,831.55
  5. Step 5: Solve for x
    x = 206,831.55/442.21
  6. Step 6: Final answer
    x = 467.72

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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.