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Finding the Fourth Proportional to 265.64, 395.98 and 262.76

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Solution

The fourth proportional to 265.64, 395.98 and 262.76 is: 391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.64 : 395.98 = 262.76 : x
  2. Step 2: Convert to fraction form
    265.64/395.98 = 262.76/x
  3. Step 3: Cross multiply
    265.64x = 395.98 × 262.76
  4. Step 4: Simplify right side
    265.64x = 104,047.70
  5. Step 5: Solve for x
    x = 104,047.70/265.64
  6. Step 6: Final answer
    x = 391.69

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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.