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Finding the Fourth Proportional to 509.24, 763.38 and 303.86

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Solution

The fourth proportional to 509.24, 763.38 and 303.86 is: 455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.24 : 763.38 = 303.86 : x
  2. Step 2: Convert to fraction form
    509.24/763.38 = 303.86/x
  3. Step 3: Cross multiply
    509.24x = 763.38 × 303.86
  4. Step 4: Simplify right side
    509.24x = 231,960.65
  5. Step 5: Solve for x
    x = 231,960.65/509.24
  6. Step 6: Final answer
    x = 455.50

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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.