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Finding the Fourth Proportional to 333.24, 497.61 and 263.99

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Solution

The fourth proportional to 333.24, 497.61 and 263.99 is: 394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.24 : 497.61 = 263.99 : x
  2. Step 2: Convert to fraction form
    333.24/497.61 = 263.99/x
  3. Step 3: Cross multiply
    333.24x = 497.61 × 263.99
  4. Step 4: Simplify right side
    333.24x = 131,361.58
  5. Step 5: Solve for x
    x = 131,361.58/333.24
  6. Step 6: Final answer
    x = 394.20

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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.