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Finding the Fourth Proportional to 722.81, 997.42 and 408.10

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Solution

The fourth proportional to 722.81, 997.42 and 408.10 is: 563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.81 : 997.42 = 408.10 : x
  2. Step 2: Convert to fraction form
    722.81/997.42 = 408.10/x
  3. Step 3: Cross multiply
    722.81x = 997.42 × 408.10
  4. Step 4: Simplify right side
    722.81x = 407,047.10
  5. Step 5: Solve for x
    x = 407,047.10/722.81
  6. Step 6: Final answer
    x = 563.15

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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.