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Finding the Fourth Proportional to 662.69, 914.57 and 367.98

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Solution

The fourth proportional to 662.69, 914.57 and 367.98 is: 507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.69 : 914.57 = 367.98 : x
  2. Step 2: Convert to fraction form
    662.69/914.57 = 367.98/x
  3. Step 3: Cross multiply
    662.69x = 914.57 × 367.98
  4. Step 4: Simplify right side
    662.69x = 336,544.73
  5. Step 5: Solve for x
    x = 336,544.73/662.69
  6. Step 6: Final answer
    x = 507.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.