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Finding the Fourth Proportional to 441.82, 610 and 284.52

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Solution

The fourth proportional to 441.82, 610 and 284.52 is: 392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.82 : 610 = 284.52 : x
  2. Step 2: Convert to fraction form
    441.82/610 = 284.52/x
  3. Step 3: Cross multiply
    441.82x = 610 × 284.52
  4. Step 4: Simplify right side
    441.82x = 173,557.20
  5. Step 5: Solve for x
    x = 173,557.20/441.82
  6. Step 6: Final answer
    x = 392.82

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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.