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Finding the Fourth Proportional to 850.07, 1,274.95 and 233.63

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Solution

The fourth proportional to 850.07, 1,274.95 and 233.63 is: 350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.07 : 1,274.95 = 233.63 : x
  2. Step 2: Convert to fraction form
    850.07/1,274.95 = 233.63/x
  3. Step 3: Cross multiply
    850.07x = 1,274.95 × 233.63
  4. Step 4: Simplify right side
    850.07x = 297,860.78
  5. Step 5: Solve for x
    x = 297,860.78/850.07
  6. Step 6: Final answer
    x = 350.40

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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.