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Finding the Fourth Proportional to 584.68, 806.82 and 335.98

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Solution

The fourth proportional to 584.68, 806.82 and 335.98 is: 463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.68 : 806.82 = 335.98 : x
  2. Step 2: Convert to fraction form
    584.68/806.82 = 335.98/x
  3. Step 3: Cross multiply
    584.68x = 806.82 × 335.98
  4. Step 4: Simplify right side
    584.68x = 271,075.38
  5. Step 5: Solve for x
    x = 271,075.38/584.68
  6. Step 6: Final answer
    x = 463.63

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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.