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Finding the Fourth Proportional to 724.10, 999.27 and 409.34

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Solution

The fourth proportional to 724.10, 999.27 and 409.34 is: 564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.10 : 999.27 = 409.34 : x
  2. Step 2: Convert to fraction form
    724.10/999.27 = 409.34/x
  3. Step 3: Cross multiply
    724.10x = 999.27 × 409.34
  4. Step 4: Simplify right side
    724.10x = 409,041.18
  5. Step 5: Solve for x
    x = 409,041.18/724.10
  6. Step 6: Final answer
    x = 564.90

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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.