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Finding the Fourth Proportional to 264.72, 394.26 and 260.70

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Solution

The fourth proportional to 264.72, 394.26 and 260.70 is: 388.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.72 : 394.26 = 260.70 : x
  2. Step 2: Convert to fraction form
    264.72/394.26 = 260.70/x
  3. Step 3: Cross multiply
    264.72x = 394.26 × 260.70
  4. Step 4: Simplify right side
    264.72x = 102,783.58
  5. Step 5: Solve for x
    x = 102,783.58/264.72
  6. Step 6: Final answer
    x = 388.27

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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.