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Finding the Fourth Proportional to 851.61, 1,277.04 and 338.25

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Solution

The fourth proportional to 851.61, 1,277.04 and 338.25 is: 507.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.61 : 1,277.04 = 338.25 : x
  2. Step 2: Convert to fraction form
    851.61/1,277.04 = 338.25/x
  3. Step 3: Cross multiply
    851.61x = 1,277.04 × 338.25
  4. Step 4: Simplify right side
    851.61x = 431,958.78
  5. Step 5: Solve for x
    x = 431,958.78/851.61
  6. Step 6: Final answer
    x = 507.23

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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.