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Finding the Fourth Proportional to 509.93, 766.16 and 423.89

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Solution

The fourth proportional to 509.93, 766.16 and 423.89 is: 636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.93 : 766.16 = 423.89 : x
  2. Step 2: Convert to fraction form
    509.93/766.16 = 423.89/x
  3. Step 3: Cross multiply
    509.93x = 766.16 × 423.89
  4. Step 4: Simplify right side
    509.93x = 324,767.56
  5. Step 5: Solve for x
    x = 324,767.56/509.93
  6. Step 6: Final answer
    x = 636.89

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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.