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Finding the Fourth Proportional to 264.71, 394.97 and 263.18

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Solution

The fourth proportional to 264.71, 394.97 and 263.18 is: 392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.71 : 394.97 = 263.18 : x
  2. Step 2: Convert to fraction form
    264.71/394.97 = 263.18/x
  3. Step 3: Cross multiply
    264.71x = 394.97 × 263.18
  4. Step 4: Simplify right side
    264.71x = 103,944.91
  5. Step 5: Solve for x
    x = 103,944.91/264.71
  6. Step 6: Final answer
    x = 392.68

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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.