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Finding the Fourth Proportional to 353.30, 527.14 and 301.36

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Solution

The fourth proportional to 353.30, 527.14 and 301.36 is: 449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.30 : 527.14 = 301.36 : x
  2. Step 2: Convert to fraction form
    353.30/527.14 = 301.36/x
  3. Step 3: Cross multiply
    353.30x = 527.14 × 301.36
  4. Step 4: Simplify right side
    353.30x = 158,858.91
  5. Step 5: Solve for x
    x = 158,858.91/353.30
  6. Step 6: Final answer
    x = 449.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.