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Finding the Fourth Proportional to 264.06, 395.06 and 233.28

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Solution

The fourth proportional to 264.06, 395.06 and 233.28 is: 349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.06 : 395.06 = 233.28 : x
  2. Step 2: Convert to fraction form
    264.06/395.06 = 233.28/x
  3. Step 3: Cross multiply
    264.06x = 395.06 × 233.28
  4. Step 4: Simplify right side
    264.06x = 92,158.43
  5. Step 5: Solve for x
    x = 92,158.43/264.06
  6. Step 6: Final answer
    x = 349.01

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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.