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Finding the Fourth Proportional to 604.46, 902.26 and 527.42

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Solution

The fourth proportional to 604.46, 902.26 and 527.42 is: 787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.46 : 902.26 = 527.42 : x
  2. Step 2: Convert to fraction form
    604.46/902.26 = 527.42/x
  3. Step 3: Cross multiply
    604.46x = 902.26 × 527.42
  4. Step 4: Simplify right side
    604.46x = 475,869.97
  5. Step 5: Solve for x
    x = 475,869.97/604.46
  6. Step 6: Final answer
    x = 787.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.