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Finding the Fourth Proportional to 443.24, 660.96 and 412.46

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Solution

The fourth proportional to 443.24, 660.96 and 412.46 is: 615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.24 : 660.96 = 412.46 : x
  2. Step 2: Convert to fraction form
    443.24/660.96 = 412.46/x
  3. Step 3: Cross multiply
    443.24x = 660.96 × 412.46
  4. Step 4: Simplify right side
    443.24x = 272,617.50
  5. Step 5: Solve for x
    x = 272,617.50/443.24
  6. Step 6: Final answer
    x = 615.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.