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Finding the Fourth Proportional to 584.96, 806.19 and 474.69

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Solution

The fourth proportional to 584.96, 806.19 and 474.69 is: 654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.96 : 806.19 = 474.69 : x
  2. Step 2: Convert to fraction form
    584.96/806.19 = 474.69/x
  3. Step 3: Cross multiply
    584.96x = 806.19 × 474.69
  4. Step 4: Simplify right side
    584.96x = 382,691.57
  5. Step 5: Solve for x
    x = 382,691.57/584.96
  6. Step 6: Final answer
    x = 654.22

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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.