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Finding the Fourth Proportional to 604.34, 833.73 and 472.82

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Solution

The fourth proportional to 604.34, 833.73 and 472.82 is: 652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.34 : 833.73 = 472.82 : x
  2. Step 2: Convert to fraction form
    604.34/833.73 = 472.82/x
  3. Step 3: Cross multiply
    604.34x = 833.73 × 472.82
  4. Step 4: Simplify right side
    604.34x = 394,204.22
  5. Step 5: Solve for x
    x = 394,204.22/604.34
  6. Step 6: Final answer
    x = 652.29

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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.