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Finding the Fourth Proportional to 509.84, 764.94 and 263.24

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Solution

The fourth proportional to 509.84, 764.94 and 263.24 is: 394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.84 : 764.94 = 263.24 : x
  2. Step 2: Convert to fraction form
    509.84/764.94 = 263.24/x
  3. Step 3: Cross multiply
    509.84x = 764.94 × 263.24
  4. Step 4: Simplify right side
    509.84x = 201,362.81
  5. Step 5: Solve for x
    x = 201,362.81/509.84
  6. Step 6: Final answer
    x = 394.95

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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.