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Finding the Fourth Proportional to 619.45, 929.78 and 295.04

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Solution

The fourth proportional to 619.45, 929.78 and 295.04 is: 442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.45 : 929.78 = 295.04 : x
  2. Step 2: Convert to fraction form
    619.45/929.78 = 295.04/x
  3. Step 3: Cross multiply
    619.45x = 929.78 × 295.04
  4. Step 4: Simplify right side
    619.45x = 274,324.25
  5. Step 5: Solve for x
    x = 274,324.25/619.45
  6. Step 6: Final answer
    x = 442.85

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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.