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Finding the Fourth Proportional to 304.71, 420.26 and 275.91

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Solution

The fourth proportional to 304.71, 420.26 and 275.91 is: 380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.71 : 420.26 = 275.91 : x
  2. Step 2: Convert to fraction form
    304.71/420.26 = 275.91/x
  3. Step 3: Cross multiply
    304.71x = 420.26 × 275.91
  4. Step 4: Simplify right side
    304.71x = 115,952.56
  5. Step 5: Solve for x
    x = 115,952.56/304.71
  6. Step 6: Final answer
    x = 380.53

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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.