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Finding the Fourth Proportional to 304.96, 420.12 and 252.28

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Solution

The fourth proportional to 304.96, 420.12 and 252.28 is: 347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.96 : 420.12 = 252.28 : x
  2. Step 2: Convert to fraction form
    304.96/420.12 = 252.28/x
  3. Step 3: Cross multiply
    304.96x = 420.12 × 252.28
  4. Step 4: Simplify right side
    304.96x = 105,987.87
  5. Step 5: Solve for x
    x = 105,987.87/304.96
  6. Step 6: Final answer
    x = 347.55

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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.