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Finding the Fourth Proportional to 584.66, 806.86 and 336.06

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Solution

The fourth proportional to 584.66, 806.86 and 336.06 is: 463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.66 : 806.86 = 336.06 : x
  2. Step 2: Convert to fraction form
    584.66/806.86 = 336.06/x
  3. Step 3: Cross multiply
    584.66x = 806.86 × 336.06
  4. Step 4: Simplify right side
    584.66x = 271,153.28
  5. Step 5: Solve for x
    x = 271,153.28/584.66
  6. Step 6: Final answer
    x = 463.78

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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.