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Finding the Fourth Proportional to 486.06, 670.70 and 279.06

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Solution

The fourth proportional to 486.06, 670.70 and 279.06 is: 385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.06 : 670.70 = 279.06 : x
  2. Step 2: Convert to fraction form
    486.06/670.70 = 279.06/x
  3. Step 3: Cross multiply
    486.06x = 670.70 × 279.06
  4. Step 4: Simplify right side
    486.06x = 187,165.54
  5. Step 5: Solve for x
    x = 187,165.54/486.06
  6. Step 6: Final answer
    x = 385.07

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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.