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Finding the Fourth Proportional to 604.20, 831.96 and 455.04

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Solution

The fourth proportional to 604.20, 831.96 and 455.04 is: 626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.20 : 831.96 = 455.04 : x
  2. Step 2: Convert to fraction form
    604.20/831.96 = 455.04/x
  3. Step 3: Cross multiply
    604.20x = 831.96 × 455.04
  4. Step 4: Simplify right side
    604.20x = 378,576.49
  5. Step 5: Solve for x
    x = 378,576.49/604.20
  6. Step 6: Final answer
    x = 626.57

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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.