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Finding the Fourth Proportional to 488.25, 732.83 and 257.31

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Solution

The fourth proportional to 488.25, 732.83 and 257.31 is: 386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.25 : 732.83 = 257.31 : x
  2. Step 2: Convert to fraction form
    488.25/732.83 = 257.31/x
  3. Step 3: Cross multiply
    488.25x = 732.83 × 257.31
  4. Step 4: Simplify right side
    488.25x = 188,559.54
  5. Step 5: Solve for x
    x = 188,559.54/488.25
  6. Step 6: Final answer
    x = 386.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.