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Finding the Fourth Proportional to 604.14, 833.46 and 473.46

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Solution

The fourth proportional to 604.14, 833.46 and 473.46 is: 653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.14 : 833.46 = 473.46 : x
  2. Step 2: Convert to fraction form
    604.14/833.46 = 473.46/x
  3. Step 3: Cross multiply
    604.14x = 833.46 × 473.46
  4. Step 4: Simplify right side
    604.14x = 394,609.97
  5. Step 5: Solve for x
    x = 394,609.97/604.14
  6. Step 6: Final answer
    x = 653.18

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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.