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Finding the Fourth Proportional to 440, 660.24 and 212

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Solution

The fourth proportional to 440, 660.24 and 212 is: 318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    440 : 660.24 = 212 : x
  2. Step 2: Convert to fraction form
    440/660.24 = 212/x
  3. Step 3: Cross multiply
    440x = 660.24 × 212
  4. Step 4: Simplify right side
    440x = 139,970.88
  5. Step 5: Solve for x
    x = 139,970.88/440
  6. Step 6: Final answer
    x = 318.12

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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.