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Finding the Fourth Proportional to 304.18, 419.26 and 215.54

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Solution

The fourth proportional to 304.18, 419.26 and 215.54 is: 297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.18 : 419.26 = 215.54 : x
  2. Step 2: Convert to fraction form
    304.18/419.26 = 215.54/x
  3. Step 3: Cross multiply
    304.18x = 419.26 × 215.54
  4. Step 4: Simplify right side
    304.18x = 90,368.87
  5. Step 5: Solve for x
    x = 90,368.87/304.18
  6. Step 6: Final answer
    x = 297.09

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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.