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Finding the Fourth Proportional to 584.46, 806.52 and 348.43

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Solution

The fourth proportional to 584.46, 806.52 and 348.43 is: 480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.46 : 806.52 = 348.43 : x
  2. Step 2: Convert to fraction form
    584.46/806.52 = 348.43/x
  3. Step 3: Cross multiply
    584.46x = 806.52 × 348.43
  4. Step 4: Simplify right side
    584.46x = 281,015.76
  5. Step 5: Solve for x
    x = 281,015.76/584.46
  6. Step 6: Final answer
    x = 480.81

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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.