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Finding the Fourth Proportional to 507.09, 760.74 and 160.44

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Solution

The fourth proportional to 507.09, 760.74 and 160.44 is: 240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.09 : 760.74 = 160.44 : x
  2. Step 2: Convert to fraction form
    507.09/760.74 = 160.44/x
  3. Step 3: Cross multiply
    507.09x = 760.74 × 160.44
  4. Step 4: Simplify right side
    507.09x = 122,053.13
  5. Step 5: Solve for x
    x = 122,053.13/507.09
  6. Step 6: Final answer
    x = 240.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.