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Finding the Fourth Proportional to 830.88, 1,246.44 and 344.04

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Solution

The fourth proportional to 830.88, 1,246.44 and 344.04 is: 516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.88 : 1,246.44 = 344.04 : x
  2. Step 2: Convert to fraction form
    830.88/1,246.44 = 344.04/x
  3. Step 3: Cross multiply
    830.88x = 1,246.44 × 344.04
  4. Step 4: Simplify right side
    830.88x = 428,825.22
  5. Step 5: Solve for x
    x = 428,825.22/830.88
  6. Step 6: Final answer
    x = 516.11

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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.