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Finding the Fourth Proportional to 486.14, 670.91 and 279.14

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Solution

The fourth proportional to 486.14, 670.91 and 279.14 is: 385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.14 : 670.91 = 279.14 : x
  2. Step 2: Convert to fraction form
    486.14/670.91 = 279.14/x
  3. Step 3: Cross multiply
    486.14x = 670.91 × 279.14
  4. Step 4: Simplify right side
    486.14x = 187,277.82
  5. Step 5: Solve for x
    x = 187,277.82/486.14
  6. Step 6: Final answer
    x = 385.23

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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.