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Finding the Fourth Proportional to 511.67, 706.11 and 278.80

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Solution

The fourth proportional to 511.67, 706.11 and 278.80 is: 384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.67 : 706.11 = 278.80 : x
  2. Step 2: Convert to fraction form
    511.67/706.11 = 278.80/x
  3. Step 3: Cross multiply
    511.67x = 706.11 × 278.80
  4. Step 4: Simplify right side
    511.67x = 196,861.70
  5. Step 5: Solve for x
    x = 196,861.70/511.67
  6. Step 6: Final answer
    x = 384.74

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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.