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Finding the Fourth Proportional to 662.87, 914.73 and 364.12

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Solution

The fourth proportional to 662.87, 914.73 and 364.12 is: 502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.87 : 914.73 = 364.12 : x
  2. Step 2: Convert to fraction form
    662.87/914.73 = 364.12/x
  3. Step 3: Cross multiply
    662.87x = 914.73 × 364.12
  4. Step 4: Simplify right side
    662.87x = 333,069.67
  5. Step 5: Solve for x
    x = 333,069.67/662.87
  6. Step 6: Final answer
    x = 502.47

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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.