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Finding the Fourth Proportional to 303.51, 419.27 and 292.28

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Solution

The fourth proportional to 303.51, 419.27 and 292.28 is: 403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.51 : 419.27 = 292.28 : x
  2. Step 2: Convert to fraction form
    303.51/419.27 = 292.28/x
  3. Step 3: Cross multiply
    303.51x = 419.27 × 292.28
  4. Step 4: Simplify right side
    303.51x = 122,540.68
  5. Step 5: Solve for x
    x = 122,540.68/303.51
  6. Step 6: Final answer
    x = 403.75

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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.