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Finding the Fourth Proportional to 2,298.25, 3,447.44 and 566.88

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Solution

The fourth proportional to 2,298.25, 3,447.44 and 566.88 is: 850.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.25 : 3,447.44 = 566.88 : x
  2. Step 2: Convert to fraction form
    2,298.25/3,447.44 = 566.88/x
  3. Step 3: Cross multiply
    2,298.25x = 3,447.44 × 566.88
  4. Step 4: Simplify right side
    2,298.25x = 1,954,284.79
  5. Step 5: Solve for x
    x = 1,954,284.79/2,298.25
  6. Step 6: Final answer
    x = 850.34

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1.5x scale

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.