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Finding the Fourth Proportional to 332.14, 457.04 and 301.09

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Solution

The fourth proportional to 332.14, 457.04 and 301.09 is: 414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.14 : 457.04 = 301.09 : x
  2. Step 2: Convert to fraction form
    332.14/457.04 = 301.09/x
  3. Step 3: Cross multiply
    332.14x = 457.04 × 301.09
  4. Step 4: Simplify right side
    332.14x = 137,606.38
  5. Step 5: Solve for x
    x = 137,606.38/332.14
  6. Step 6: Final answer
    x = 414.31

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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.