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Finding the Fourth Proportional to 509.20, 762.84 and 292.12

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Solution

The fourth proportional to 509.20, 762.84 and 292.12 is: 437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.20 : 762.84 = 292.12 : x
  2. Step 2: Convert to fraction form
    509.20/762.84 = 292.12/x
  3. Step 3: Cross multiply
    509.20x = 762.84 × 292.12
  4. Step 4: Simplify right side
    509.20x = 222,840.82
  5. Step 5: Solve for x
    x = 222,840.82/509.20
  6. Step 6: Final answer
    x = 437.63

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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.