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Finding the Fourth Proportional to 720.96, 994.91 and 410.46

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Solution

The fourth proportional to 720.96, 994.91 and 410.46 is: 566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.96 : 994.91 = 410.46 : x
  2. Step 2: Convert to fraction form
    720.96/994.91 = 410.46/x
  3. Step 3: Cross multiply
    720.96x = 994.91 × 410.46
  4. Step 4: Simplify right side
    720.96x = 408,368.71
  5. Step 5: Solve for x
    x = 408,368.71/720.96
  6. Step 6: Final answer
    x = 566.42

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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.