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Finding the Fourth Proportional to 444.30, 613.13 and 257.83

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Solution

The fourth proportional to 444.30, 613.13 and 257.83 is: 355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.30 : 613.13 = 257.83 : x
  2. Step 2: Convert to fraction form
    444.30/613.13 = 257.83/x
  3. Step 3: Cross multiply
    444.30x = 613.13 × 257.83
  4. Step 4: Simplify right side
    444.30x = 158,083.31
  5. Step 5: Solve for x
    x = 158,083.31/444.30
  6. Step 6: Final answer
    x = 355.80

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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.