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Finding the Fourth Proportional to 262.24, 391.47 and 259.67

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Solution

The fourth proportional to 262.24, 391.47 and 259.67 is: 387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.24 : 391.47 = 259.67 : x
  2. Step 2: Convert to fraction form
    262.24/391.47 = 259.67/x
  3. Step 3: Cross multiply
    262.24x = 391.47 × 259.67
  4. Step 4: Simplify right side
    262.24x = 101,653.02
  5. Step 5: Solve for x
    x = 101,653.02/262.24
  6. Step 6: Final answer
    x = 387.64

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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.