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Finding the Fourth Proportional to 720.80, 994.71 and 410.30

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Solution

The fourth proportional to 720.80, 994.71 and 410.30 is: 566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.80 : 994.71 = 410.30 : x
  2. Step 2: Convert to fraction form
    720.80/994.71 = 410.30/x
  3. Step 3: Cross multiply
    720.80x = 994.71 × 410.30
  4. Step 4: Simplify right side
    720.80x = 408,124.54
  5. Step 5: Solve for x
    x = 408,124.54/720.80
  6. Step 6: Final answer
    x = 566.21

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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.