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Finding the Fourth Proportional to 833.63, 1,250.51 and 217.36

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Solution

The fourth proportional to 833.63, 1,250.51 and 217.36 is: 326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.63 : 1,250.51 = 217.36 : x
  2. Step 2: Convert to fraction form
    833.63/1,250.51 = 217.36/x
  3. Step 3: Cross multiply
    833.63x = 1,250.51 × 217.36
  4. Step 4: Simplify right side
    833.63x = 271,806.64
  5. Step 5: Solve for x
    x = 271,806.64/833.63
  6. Step 6: Final answer
    x = 326.05

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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.