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Finding the Fourth Proportional to 309.36, 461.36 and 264

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Solution

The fourth proportional to 309.36, 461.36 and 264 is: 393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.36 : 461.36 = 264 : x
  2. Step 2: Convert to fraction form
    309.36/461.36 = 264/x
  3. Step 3: Cross multiply
    309.36x = 461.36 × 264
  4. Step 4: Simplify right side
    309.36x = 121,799.04
  5. Step 5: Solve for x
    x = 121,799.04/309.36
  6. Step 6: Final answer
    x = 393.71

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