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Finding the Fourth Proportional to 662.82, 914.31 and 538.62

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Solution

The fourth proportional to 662.82, 914.31 and 538.62 is: 742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.82 : 914.31 = 538.62 : x
  2. Step 2: Convert to fraction form
    662.82/914.31 = 538.62/x
  3. Step 3: Cross multiply
    662.82x = 914.31 × 538.62
  4. Step 4: Simplify right side
    662.82x = 492,465.65
  5. Step 5: Solve for x
    x = 492,465.65/662.82
  6. Step 6: Final answer
    x = 742.99

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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.