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Finding the Fourth Proportional to 603.29, 831.24 and 406.46

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Solution

The fourth proportional to 603.29, 831.24 and 406.46 is: 560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.29 : 831.24 = 406.46 : x
  2. Step 2: Convert to fraction form
    603.29/831.24 = 406.46/x
  3. Step 3: Cross multiply
    603.29x = 831.24 × 406.46
  4. Step 4: Simplify right side
    603.29x = 337,860.90
  5. Step 5: Solve for x
    x = 337,860.90/603.29
  6. Step 6: Final answer
    x = 560.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.