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Finding the Fourth Proportional to 720.71, 994.57 and 410.21

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Solution

The fourth proportional to 720.71, 994.57 and 410.21 is: 566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.71 : 994.57 = 410.21 : x
  2. Step 2: Convert to fraction form
    720.71/994.57 = 410.21/x
  3. Step 3: Cross multiply
    720.71x = 994.57 × 410.21
  4. Step 4: Simplify right side
    720.71x = 407,982.60
  5. Step 5: Solve for x
    x = 407,982.60/720.71
  6. Step 6: Final answer
    x = 566.09

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