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Finding the Fourth Proportional to 262.56, 364.48 and 259.76

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Solution

The fourth proportional to 262.56, 364.48 and 259.76 is: 360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.56 : 364.48 = 259.76 : x
  2. Step 2: Convert to fraction form
    262.56/364.48 = 259.76/x
  3. Step 3: Cross multiply
    262.56x = 364.48 × 259.76
  4. Step 4: Simplify right side
    262.56x = 94,677.32
  5. Step 5: Solve for x
    x = 94,677.32/262.56
  6. Step 6: Final answer
    x = 360.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.