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Finding the Fourth Proportional to 509.67, 764.64 and 442.17

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Solution

The fourth proportional to 509.67, 764.64 and 442.17 is: 663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.67 : 764.64 = 442.17 : x
  2. Step 2: Convert to fraction form
    509.67/764.64 = 442.17/x
  3. Step 3: Cross multiply
    509.67x = 764.64 × 442.17
  4. Step 4: Simplify right side
    509.67x = 338,100.87
  5. Step 5: Solve for x
    x = 338,100.87/509.67
  6. Step 6: Final answer
    x = 663.37

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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.