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Finding the Fourth Proportional to 604.36, 834.78 and 525.52

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Solution

The fourth proportional to 604.36, 834.78 and 525.52 is: 725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.36 : 834.78 = 525.52 : x
  2. Step 2: Convert to fraction form
    604.36/834.78 = 525.52/x
  3. Step 3: Cross multiply
    604.36x = 834.78 × 525.52
  4. Step 4: Simplify right side
    604.36x = 438,693.59
  5. Step 5: Solve for x
    x = 438,693.59/604.36
  6. Step 6: Final answer
    x = 725.88

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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.