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Finding the Fourth Proportional to 301.14, 414.63 and 264.06

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Solution

The fourth proportional to 301.14, 414.63 and 264.06 is: 363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.14 : 414.63 = 264.06 : x
  2. Step 2: Convert to fraction form
    301.14/414.63 = 264.06/x
  3. Step 3: Cross multiply
    301.14x = 414.63 × 264.06
  4. Step 4: Simplify right side
    301.14x = 109,487.20
  5. Step 5: Solve for x
    x = 109,487.20/301.14
  6. Step 6: Final answer
    x = 363.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.