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Finding the Fourth Proportional to 333.88, 459.34 and 278.26

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Solution

The fourth proportional to 333.88, 459.34 and 278.26 is: 382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.88 : 459.34 = 278.26 : x
  2. Step 2: Convert to fraction form
    333.88/459.34 = 278.26/x
  3. Step 3: Cross multiply
    333.88x = 459.34 × 278.26
  4. Step 4: Simplify right side
    333.88x = 127,814.10
  5. Step 5: Solve for x
    x = 127,814.10/333.88
  6. Step 6: Final answer
    x = 382.82

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