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Finding the Fourth Proportional to 509.02, 762.64 and 299.76

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Solution

The fourth proportional to 509.02, 762.64 and 299.76 is: 449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.02 : 762.64 = 299.76 : x
  2. Step 2: Convert to fraction form
    509.02/762.64 = 299.76/x
  3. Step 3: Cross multiply
    509.02x = 762.64 × 299.76
  4. Step 4: Simplify right side
    509.02x = 228,608.97
  5. Step 5: Solve for x
    x = 228,608.97/509.02
  6. Step 6: Final answer
    x = 449.12

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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.