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Finding the Fourth Proportional to 619.84, 930.16 and 295.24

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Solution

The fourth proportional to 619.84, 930.16 and 295.24 is: 443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.84 : 930.16 = 295.24 : x
  2. Step 2: Convert to fraction form
    619.84/930.16 = 295.24/x
  3. Step 3: Cross multiply
    619.84x = 930.16 × 295.24
  4. Step 4: Simplify right side
    619.84x = 274,620.44
  5. Step 5: Solve for x
    x = 274,620.44/619.84
  6. Step 6: Final answer
    x = 443.05

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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.