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Finding the Fourth Proportional to 584.47, 806.30 and 348.29

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Solution

The fourth proportional to 584.47, 806.30 and 348.29 is: 480.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.47 : 806.30 = 348.29 : x
  2. Step 2: Convert to fraction form
    584.47/806.30 = 348.29/x
  3. Step 3: Cross multiply
    584.47x = 806.30 × 348.29
  4. Step 4: Simplify right side
    584.47x = 280,823.27
  5. Step 5: Solve for x
    x = 280,823.27/584.47
  6. Step 6: Final answer
    x = 480.48

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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.