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Finding the Fourth Proportional to 336.30, 463.57 and 269.33

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Solution

The fourth proportional to 336.30, 463.57 and 269.33 is: 371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.30 : 463.57 = 269.33 : x
  2. Step 2: Convert to fraction form
    336.30/463.57 = 269.33/x
  3. Step 3: Cross multiply
    336.30x = 463.57 × 269.33
  4. Step 4: Simplify right side
    336.30x = 124,851.83
  5. Step 5: Solve for x
    x = 124,851.83/336.30
  6. Step 6: Final answer
    x = 371.25

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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.