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Finding the Fourth Proportional to 265.77, 395.73 and 264.96

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Solution

The fourth proportional to 265.77, 395.73 and 264.96 is: 394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.77 : 395.73 = 264.96 : x
  2. Step 2: Convert to fraction form
    265.77/395.73 = 264.96/x
  3. Step 3: Cross multiply
    265.77x = 395.73 × 264.96
  4. Step 4: Simplify right side
    265.77x = 104,852.62
  5. Step 5: Solve for x
    x = 104,852.62/265.77
  6. Step 6: Final answer
    x = 394.52

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Why These Related Problems?

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