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Finding the Fourth Proportional to 584.02, 806.01 and 335.35

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Solution

The fourth proportional to 584.02, 806.01 and 335.35 is: 462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.02 : 806.01 = 335.35 : x
  2. Step 2: Convert to fraction form
    584.02/806.01 = 335.35/x
  3. Step 3: Cross multiply
    584.02x = 806.01 × 335.35
  4. Step 4: Simplify right side
    584.02x = 270,295.45
  5. Step 5: Solve for x
    x = 270,295.45/584.02
  6. Step 6: Final answer
    x = 462.82

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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.