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Finding the Fourth Proportional to 509.82, 764.49 and 304.34

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Solution

The fourth proportional to 509.82, 764.49 and 304.34 is: 456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.82 : 764.49 = 304.34 : x
  2. Step 2: Convert to fraction form
    509.82/764.49 = 304.34/x
  3. Step 3: Cross multiply
    509.82x = 764.49 × 304.34
  4. Step 4: Simplify right side
    509.82x = 232,661.06
  5. Step 5: Solve for x
    x = 232,661.06/509.82
  6. Step 6: Final answer
    x = 456.36

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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.