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Finding the Fourth Proportional to 447.28, 670.65 and 293.02

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Solution

The fourth proportional to 447.28, 670.65 and 293.02 is: 439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.28 : 670.65 = 293.02 : x
  2. Step 2: Convert to fraction form
    447.28/670.65 = 293.02/x
  3. Step 3: Cross multiply
    447.28x = 670.65 × 293.02
  4. Step 4: Simplify right side
    447.28x = 196,513.86
  5. Step 5: Solve for x
    x = 196,513.86/447.28
  6. Step 6: Final answer
    x = 439.35

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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.