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Finding the Fourth Proportional to 509.27, 764.54 and 506.93

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Solution

The fourth proportional to 509.27, 764.54 and 506.93 is: 761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.27 : 764.54 = 506.93 : x
  2. Step 2: Convert to fraction form
    509.27/764.54 = 506.93/x
  3. Step 3: Cross multiply
    509.27x = 764.54 × 506.93
  4. Step 4: Simplify right side
    509.27x = 387,568.26
  5. Step 5: Solve for x
    x = 387,568.26/509.27
  6. Step 6: Final answer
    x = 761.03

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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.