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Finding the Fourth Proportional to 604.56, 828.84 and 588.24

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Solution

The fourth proportional to 604.56, 828.84 and 588.24 is: 806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.56 : 828.84 = 588.24 : x
  2. Step 2: Convert to fraction form
    604.56/828.84 = 588.24/x
  3. Step 3: Cross multiply
    604.56x = 828.84 × 588.24
  4. Step 4: Simplify right side
    604.56x = 487,556.84
  5. Step 5: Solve for x
    x = 487,556.84/604.56
  6. Step 6: Final answer
    x = 806.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.