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Finding the Fourth Proportional to 851.54, 1,277.63 and 331.58

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Solution

The fourth proportional to 851.54, 1,277.63 and 331.58 is: 497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.54 : 1,277.63 = 331.58 : x
  2. Step 2: Convert to fraction form
    851.54/1,277.63 = 331.58/x
  3. Step 3: Cross multiply
    851.54x = 1,277.63 × 331.58
  4. Step 4: Simplify right side
    851.54x = 423,640.58
  5. Step 5: Solve for x
    x = 423,640.58/851.54
  6. Step 6: Final answer
    x = 497.50

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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.