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Finding the Fourth Proportional to 509.92, 764.16 and 253.60

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Solution

The fourth proportional to 509.92, 764.16 and 253.60 is: 380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.92 : 764.16 = 253.60 : x
  2. Step 2: Convert to fraction form
    509.92/764.16 = 253.60/x
  3. Step 3: Cross multiply
    509.92x = 764.16 × 253.60
  4. Step 4: Simplify right side
    509.92x = 193,790.98
  5. Step 5: Solve for x
    x = 193,790.98/509.92
  6. Step 6: Final answer
    x = 380.04

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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.