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Finding the Fourth Proportional to 604.59, 834.08 and 473.07

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Solution

The fourth proportional to 604.59, 834.08 and 473.07 is: 652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.59 : 834.08 = 473.07 : x
  2. Step 2: Convert to fraction form
    604.59/834.08 = 473.07/x
  3. Step 3: Cross multiply
    604.59x = 834.08 × 473.07
  4. Step 4: Simplify right side
    604.59x = 394,575.86
  5. Step 5: Solve for x
    x = 394,575.86/604.59
  6. Step 6: Final answer
    x = 652.63

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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.