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Finding the Fourth Proportional to 509.08, 765.78 and 504.76

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Solution

The fourth proportional to 509.08, 765.78 and 504.76 is: 759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.08 : 765.78 = 504.76 : x
  2. Step 2: Convert to fraction form
    509.08/765.78 = 504.76/x
  3. Step 3: Cross multiply
    509.08x = 765.78 × 504.76
  4. Step 4: Simplify right side
    509.08x = 386,535.11
  5. Step 5: Solve for x
    x = 386,535.11/509.08
  6. Step 6: Final answer
    x = 759.28

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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.