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Finding the Fourth Proportional to 720.17, 993.89 and 409.67

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Solution

The fourth proportional to 720.17, 993.89 and 409.67 is: 565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.17 : 993.89 = 409.67 : x
  2. Step 2: Convert to fraction form
    720.17/993.89 = 409.67/x
  3. Step 3: Cross multiply
    720.17x = 993.89 × 409.67
  4. Step 4: Simplify right side
    720.17x = 407,164.87
  5. Step 5: Solve for x
    x = 407,164.87/720.17
  6. Step 6: Final answer
    x = 565.37

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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.