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Finding the Fourth Proportional to 619.19, 927.57 and 310.13

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Solution

The fourth proportional to 619.19, 927.57 and 310.13 is: 464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.19 : 927.57 = 310.13 : x
  2. Step 2: Convert to fraction form
    619.19/927.57 = 310.13/x
  3. Step 3: Cross multiply
    619.19x = 927.57 × 310.13
  4. Step 4: Simplify right side
    619.19x = 287,663.41
  5. Step 5: Solve for x
    x = 287,663.41/619.19
  6. Step 6: Final answer
    x = 464.58

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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.