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Finding the Fourth Proportional to 584.66, 806.84 and 336.02

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Solution

The fourth proportional to 584.66, 806.84 and 336.02 is: 463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.66 : 806.84 = 336.02 : x
  2. Step 2: Convert to fraction form
    584.66/806.84 = 336.02/x
  3. Step 3: Cross multiply
    584.66x = 806.84 × 336.02
  4. Step 4: Simplify right side
    584.66x = 271,114.38
  5. Step 5: Solve for x
    x = 271,114.38/584.66
  6. Step 6: Final answer
    x = 463.71

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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.