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Finding the Fourth Proportional to 849.28, 1,273.28 and 416

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Solution

The fourth proportional to 849.28, 1,273.28 and 416 is: 623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.28 : 1,273.28 = 416 : x
  2. Step 2: Convert to fraction form
    849.28/1,273.28 = 416/x
  3. Step 3: Cross multiply
    849.28x = 1,273.28 × 416
  4. Step 4: Simplify right side
    849.28x = 529,684.48
  5. Step 5: Solve for x
    x = 529,684.48/849.28
  6. Step 6: Final answer
    x = 623.69

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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.