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Finding the Fourth Proportional to 304.85, 420.16 and 252.08

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Solution

The fourth proportional to 304.85, 420.16 and 252.08 is: 347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.85 : 420.16 = 252.08 : x
  2. Step 2: Convert to fraction form
    304.85/420.16 = 252.08/x
  3. Step 3: Cross multiply
    304.85x = 420.16 × 252.08
  4. Step 4: Simplify right side
    304.85x = 105,913.93
  5. Step 5: Solve for x
    x = 105,913.93/304.85
  6. Step 6: Final answer
    x = 347.43

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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.