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Finding the Fourth Proportional to 507.19, 760.57 and 160.44

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Solution

The fourth proportional to 507.19, 760.57 and 160.44 is: 240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.19 : 760.57 = 160.44 : x
  2. Step 2: Convert to fraction form
    507.19/760.57 = 160.44/x
  3. Step 3: Cross multiply
    507.19x = 760.57 × 160.44
  4. Step 4: Simplify right side
    507.19x = 122,025.85
  5. Step 5: Solve for x
    x = 122,025.85/507.19
  6. Step 6: Final answer
    x = 240.59

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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.