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Finding the Fourth Proportional to 722.90, 997.59 and 408.14

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Solution

The fourth proportional to 722.90, 997.59 and 408.14 is: 563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.90 : 997.59 = 408.14 : x
  2. Step 2: Convert to fraction form
    722.90/997.59 = 408.14/x
  3. Step 3: Cross multiply
    722.90x = 997.59 × 408.14
  4. Step 4: Simplify right side
    722.90x = 407,156.67
  5. Step 5: Solve for x
    x = 407,156.67/722.90
  6. Step 6: Final answer
    x = 563.22

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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.