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Finding the Fourth Proportional to 509.97, 766.45 and 423.86

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Solution

The fourth proportional to 509.97, 766.45 and 423.86 is: 637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.97 : 766.45 = 423.86 : x
  2. Step 2: Convert to fraction form
    509.97/766.45 = 423.86/x
  3. Step 3: Cross multiply
    509.97x = 766.45 × 423.86
  4. Step 4: Simplify right side
    509.97x = 324,867.50
  5. Step 5: Solve for x
    x = 324,867.50/509.97
  6. Step 6: Final answer
    x = 637.03

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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.