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Finding the Fourth Proportional to 604.29, 834.57 and 473.10

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Solution

The fourth proportional to 604.29, 834.57 and 473.10 is: 653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.29 : 834.57 = 473.10 : x
  2. Step 2: Convert to fraction form
    604.29/834.57 = 473.10/x
  3. Step 3: Cross multiply
    604.29x = 834.57 × 473.10
  4. Step 4: Simplify right side
    604.29x = 394,835.07
  5. Step 5: Solve for x
    x = 394,835.07/604.29
  6. Step 6: Final answer
    x = 653.39

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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.