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Finding the Fourth Proportional to 486.54, 671.35 and 279.50

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Solution

The fourth proportional to 486.54, 671.35 and 279.50 is: 385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.54 : 671.35 = 279.50 : x
  2. Step 2: Convert to fraction form
    486.54/671.35 = 279.50/x
  3. Step 3: Cross multiply
    486.54x = 671.35 × 279.50
  4. Step 4: Simplify right side
    486.54x = 187,642.33
  5. Step 5: Solve for x
    x = 187,642.33/486.54
  6. Step 6: Final answer
    x = 385.67

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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.