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Finding the Fourth Proportional to 604.84, 834.42 and 473.32

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Solution

The fourth proportional to 604.84, 834.42 and 473.32 is: 652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.84 : 834.42 = 473.32 : x
  2. Step 2: Convert to fraction form
    604.84/834.42 = 473.32/x
  3. Step 3: Cross multiply
    604.84x = 834.42 × 473.32
  4. Step 4: Simplify right side
    604.84x = 394,947.67
  5. Step 5: Solve for x
    x = 394,947.67/604.84
  6. Step 6: Final answer
    x = 652.98

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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.