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Finding the Fourth Proportional to 301.14, 452.66 and 261.05

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Solution

The fourth proportional to 301.14, 452.66 and 261.05 is: 392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.14 : 452.66 = 261.05 : x
  2. Step 2: Convert to fraction form
    301.14/452.66 = 261.05/x
  3. Step 3: Cross multiply
    301.14x = 452.66 × 261.05
  4. Step 4: Simplify right side
    301.14x = 118,163.32
  5. Step 5: Solve for x
    x = 118,163.32/301.14
  6. Step 6: Final answer
    x = 392.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.