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Finding the Fourth Proportional to 509.86, 704.24 and 369.76

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Solution

The fourth proportional to 509.86, 704.24 and 369.76 is: 510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.86 : 704.24 = 369.76 : x
  2. Step 2: Convert to fraction form
    509.86/704.24 = 369.76/x
  3. Step 3: Cross multiply
    509.86x = 704.24 × 369.76
  4. Step 4: Simplify right side
    509.86x = 260,399.78
  5. Step 5: Solve for x
    x = 260,399.78/509.86
  6. Step 6: Final answer
    x = 510.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.