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Finding the Fourth Proportional to 720.28, 993.96 and 409.84

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Solution

The fourth proportional to 720.28, 993.96 and 409.84 is: 565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.28 : 993.96 = 409.84 : x
  2. Step 2: Convert to fraction form
    720.28/993.96 = 409.84/x
  3. Step 3: Cross multiply
    720.28x = 993.96 × 409.84
  4. Step 4: Simplify right side
    720.28x = 407,364.57
  5. Step 5: Solve for x
    x = 407,364.57/720.28
  6. Step 6: Final answer
    x = 565.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.