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Finding the Fourth Proportional to 263.71, 393.47 and 262.18

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Solution

The fourth proportional to 263.71, 393.47 and 262.18 is: 391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.71 : 393.47 = 262.18 : x
  2. Step 2: Convert to fraction form
    263.71/393.47 = 262.18/x
  3. Step 3: Cross multiply
    263.71x = 393.47 × 262.18
  4. Step 4: Simplify right side
    263.71x = 103,158.00
  5. Step 5: Solve for x
    x = 103,158.00/263.71
  6. Step 6: Final answer
    x = 391.19

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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.