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Finding the Fourth Proportional to 850.35, 1,275.54 and 302.55

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Solution

The fourth proportional to 850.35, 1,275.54 and 302.55 is: 453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.35 : 1,275.54 = 302.55 : x
  2. Step 2: Convert to fraction form
    850.35/1,275.54 = 302.55/x
  3. Step 3: Cross multiply
    850.35x = 1,275.54 × 302.55
  4. Step 4: Simplify right side
    850.35x = 385,908.25
  5. Step 5: Solve for x
    x = 385,908.25/850.35
  6. Step 6: Final answer
    x = 453.83

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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.