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Finding the Fourth Proportional to 364.93, 503.41 and 217.54

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Solution

The fourth proportional to 364.93, 503.41 and 217.54 is: 300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.93 : 503.41 = 217.54 : x
  2. Step 2: Convert to fraction form
    364.93/503.41 = 217.54/x
  3. Step 3: Cross multiply
    364.93x = 503.41 × 217.54
  4. Step 4: Simplify right side
    364.93x = 109,511.81
  5. Step 5: Solve for x
    x = 109,511.81/364.93
  6. Step 6: Final answer
    x = 300.09

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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.