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Finding the Fourth Proportional to 333.09, 459.06 and 271.12

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Solution

The fourth proportional to 333.09, 459.06 and 271.12 is: 373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.09 : 459.06 = 271.12 : x
  2. Step 2: Convert to fraction form
    333.09/459.06 = 271.12/x
  3. Step 3: Cross multiply
    333.09x = 459.06 × 271.12
  4. Step 4: Simplify right side
    333.09x = 124,458.99
  5. Step 5: Solve for x
    x = 124,458.99/333.09
  6. Step 6: Final answer
    x = 373.66

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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.