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Finding the Fourth Proportional to 846.15, 1,268.73 and 298.23

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Solution

The fourth proportional to 846.15, 1,268.73 and 298.23 is: 447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.15 : 1,268.73 = 298.23 : x
  2. Step 2: Convert to fraction form
    846.15/1,268.73 = 298.23/x
  3. Step 3: Cross multiply
    846.15x = 1,268.73 × 298.23
  4. Step 4: Simplify right side
    846.15x = 378,373.35
  5. Step 5: Solve for x
    x = 378,373.35/846.15
  6. Step 6: Final answer
    x = 447.17

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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.