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Finding the Fourth Proportional to 511.54, 705.91 and 278.66

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Solution

The fourth proportional to 511.54, 705.91 and 278.66 is: 384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.54 : 705.91 = 278.66 : x
  2. Step 2: Convert to fraction form
    511.54/705.91 = 278.66/x
  3. Step 3: Cross multiply
    511.54x = 705.91 × 278.66
  4. Step 4: Simplify right side
    511.54x = 196,708.88
  5. Step 5: Solve for x
    x = 196,708.88/511.54
  6. Step 6: Final answer
    x = 384.54

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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.