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Finding the Fourth Proportional to 723.95, 999.04 and 409.21

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Solution

The fourth proportional to 723.95, 999.04 and 409.21 is: 564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.95 : 999.04 = 409.21 : x
  2. Step 2: Convert to fraction form
    723.95/999.04 = 409.21/x
  3. Step 3: Cross multiply
    723.95x = 999.04 × 409.21
  4. Step 4: Simplify right side
    723.95x = 408,812.16
  5. Step 5: Solve for x
    x = 408,812.16/723.95
  6. Step 6: Final answer
    x = 564.70

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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.