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Finding the Fourth Proportional to 584.24, 806.22 and 348.46

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Solution

The fourth proportional to 584.24, 806.22 and 348.46 is: 480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.24 : 806.22 = 348.46 : x
  2. Step 2: Convert to fraction form
    584.24/806.22 = 348.46/x
  3. Step 3: Cross multiply
    584.24x = 806.22 × 348.46
  4. Step 4: Simplify right side
    584.24x = 280,931.39
  5. Step 5: Solve for x
    x = 280,931.39/584.24
  6. Step 6: Final answer
    x = 480.85

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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.