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Finding the Fourth Proportional to 720.26, 994.05 and 409.82

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Solution

The fourth proportional to 720.26, 994.05 and 409.82 is: 565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.26 : 994.05 = 409.82 : x
  2. Step 2: Convert to fraction form
    720.26/994.05 = 409.82/x
  3. Step 3: Cross multiply
    720.26x = 994.05 × 409.82
  4. Step 4: Simplify right side
    720.26x = 407,381.57
  5. Step 5: Solve for x
    x = 407,381.57/720.26
  6. Step 6: Final answer
    x = 565.60

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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.