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Finding the Fourth Proportional to 603.15, 831.89 and 411.23

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Solution

The fourth proportional to 603.15, 831.89 and 411.23 is: 567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.15 : 831.89 = 411.23 : x
  2. Step 2: Convert to fraction form
    603.15/831.89 = 411.23/x
  3. Step 3: Cross multiply
    603.15x = 831.89 × 411.23
  4. Step 4: Simplify right side
    603.15x = 342,098.12
  5. Step 5: Solve for x
    x = 342,098.12/603.15
  6. Step 6: Final answer
    x = 567.19

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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.