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Finding the Fourth Proportional to 830.28, 1,244.72 and 309.99

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Solution

The fourth proportional to 830.28, 1,244.72 and 309.99 is: 464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.28 : 1,244.72 = 309.99 : x
  2. Step 2: Convert to fraction form
    830.28/1,244.72 = 309.99/x
  3. Step 3: Cross multiply
    830.28x = 1,244.72 × 309.99
  4. Step 4: Simplify right side
    830.28x = 385,850.75
  5. Step 5: Solve for x
    x = 385,850.75/830.28
  6. Step 6: Final answer
    x = 464.72

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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.