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Finding the Fourth Proportional to 830.21, 1,245.20 and 343.19

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Solution

The fourth proportional to 830.21, 1,245.20 and 343.19 is: 514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.21 : 1,245.20 = 343.19 : x
  2. Step 2: Convert to fraction form
    830.21/1,245.20 = 343.19/x
  3. Step 3: Cross multiply
    830.21x = 1,245.20 × 343.19
  4. Step 4: Simplify right side
    830.21x = 427,340.19
  5. Step 5: Solve for x
    x = 427,340.19/830.21
  6. Step 6: Final answer
    x = 514.74

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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.