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Finding the Fourth Proportional to 662.90, 914.81 and 364.17

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Solution

The fourth proportional to 662.90, 914.81 and 364.17 is: 502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.90 : 914.81 = 364.17 : x
  2. Step 2: Convert to fraction form
    662.90/914.81 = 364.17/x
  3. Step 3: Cross multiply
    662.90x = 914.81 × 364.17
  4. Step 4: Simplify right side
    662.90x = 333,143.16
  5. Step 5: Solve for x
    x = 333,143.16/662.90
  6. Step 6: Final answer
    x = 502.56

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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.