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Finding the Fourth Proportional to 807.22, 1,210.83 and 230.10

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Solution

The fourth proportional to 807.22, 1,210.83 and 230.10 is: 345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.22 : 1,210.83 = 230.10 : x
  2. Step 2: Convert to fraction form
    807.22/1,210.83 = 230.10/x
  3. Step 3: Cross multiply
    807.22x = 1,210.83 × 230.10
  4. Step 4: Simplify right side
    807.22x = 278,611.98
  5. Step 5: Solve for x
    x = 278,611.98/807.22
  6. Step 6: Final answer
    x = 345.15

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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.