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Finding the Fourth Proportional to 514.96, 771.59 and 295.31

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Solution

The fourth proportional to 514.96, 771.59 and 295.31 is: 442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.96 : 771.59 = 295.31 : x
  2. Step 2: Convert to fraction form
    514.96/771.59 = 295.31/x
  3. Step 3: Cross multiply
    514.96x = 771.59 × 295.31
  4. Step 4: Simplify right side
    514.96x = 227,860.91
  5. Step 5: Solve for x
    x = 227,860.91/514.96
  6. Step 6: Final answer
    x = 442.48

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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.