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Finding the Fourth Proportional to 584.70, 806.85 and 336.03

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Solution

The fourth proportional to 584.70, 806.85 and 336.03 is: 463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.70 : 806.85 = 336.03 : x
  2. Step 2: Convert to fraction form
    584.70/806.85 = 336.03/x
  3. Step 3: Cross multiply
    584.70x = 806.85 × 336.03
  4. Step 4: Simplify right side
    584.70x = 271,125.81
  5. Step 5: Solve for x
    x = 271,125.81/584.70
  6. Step 6: Final answer
    x = 463.70

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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.