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Finding the Fourth Proportional to 333.74, 498.36 and 264.50

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Solution

The fourth proportional to 333.74, 498.36 and 264.50 is: 394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.74 : 498.36 = 264.50 : x
  2. Step 2: Convert to fraction form
    333.74/498.36 = 264.50/x
  3. Step 3: Cross multiply
    333.74x = 498.36 × 264.50
  4. Step 4: Simplify right side
    333.74x = 131,816.22
  5. Step 5: Solve for x
    x = 131,816.22/333.74
  6. Step 6: Final answer
    x = 394.97

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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.