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Finding the Fourth Proportional to 662.99, 914.95 and 364.25

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Solution

The fourth proportional to 662.99, 914.95 and 364.25 is: 502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.99 : 914.95 = 364.25 : x
  2. Step 2: Convert to fraction form
    662.99/914.95 = 364.25/x
  3. Step 3: Cross multiply
    662.99x = 914.95 × 364.25
  4. Step 4: Simplify right side
    662.99x = 333,270.54
  5. Step 5: Solve for x
    x = 333,270.54/662.99
  6. Step 6: Final answer
    x = 502.68

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