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Finding the Fourth Proportional to 850.24, 1,274.78 and 294.80

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Solution

The fourth proportional to 850.24, 1,274.78 and 294.80 is: 442.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.24 : 1,274.78 = 294.80 : x
  2. Step 2: Convert to fraction form
    850.24/1,274.78 = 294.80/x
  3. Step 3: Cross multiply
    850.24x = 1,274.78 × 294.80
  4. Step 4: Simplify right side
    850.24x = 375,809.07
  5. Step 5: Solve for x
    x = 375,809.07/850.24
  6. Step 6: Final answer
    x = 442.00

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