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Finding the Fourth Proportional to 850.16, 1,274.75 and 265.00

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Solution

The fourth proportional to 850.16, 1,274.75 and 265.00 is: 397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.16 : 1,274.75 = 265.00 : x
  2. Step 2: Convert to fraction form
    850.16/1,274.75 = 265.00/x
  3. Step 3: Cross multiply
    850.16x = 1,274.75 × 265.00
  4. Step 4: Simplify right side
    850.16x = 337,804.41
  5. Step 5: Solve for x
    x = 337,804.41/850.16
  6. Step 6: Final answer
    x = 397.34

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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.