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Finding the Fourth Proportional to 720.96, 994.96 and 410.56

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Solution

The fourth proportional to 720.96, 994.96 and 410.56 is: 566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.96 : 994.96 = 410.56 : x
  2. Step 2: Convert to fraction form
    720.96/994.96 = 410.56/x
  3. Step 3: Cross multiply
    720.96x = 994.96 × 410.56
  4. Step 4: Simplify right side
    720.96x = 408,490.78
  5. Step 5: Solve for x
    x = 408,490.78/720.96
  6. Step 6: Final answer
    x = 566.59

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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.