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Finding the Fourth Proportional to 662.93, 914.78 and 364.12

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Solution

The fourth proportional to 662.93, 914.78 and 364.12 is: 502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.93 : 914.78 = 364.12 : x
  2. Step 2: Convert to fraction form
    662.93/914.78 = 364.12/x
  3. Step 3: Cross multiply
    662.93x = 914.78 × 364.12
  4. Step 4: Simplify right side
    662.93x = 333,087.87
  5. Step 5: Solve for x
    x = 333,087.87/662.93
  6. Step 6: Final answer
    x = 502.45

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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.