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Finding the Fourth Proportional to 333.25, 459.09 and 270.91

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Solution

The fourth proportional to 333.25, 459.09 and 270.91 is: 373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.25 : 459.09 = 270.91 : x
  2. Step 2: Convert to fraction form
    333.25/459.09 = 270.91/x
  3. Step 3: Cross multiply
    333.25x = 459.09 × 270.91
  4. Step 4: Simplify right side
    333.25x = 124,372.07
  5. Step 5: Solve for x
    x = 124,372.07/333.25
  6. Step 6: Final answer
    x = 373.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.