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Finding the Fourth Proportional to 511.68, 706.11 and 278.81

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Solution

The fourth proportional to 511.68, 706.11 and 278.81 is: 384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.68 : 706.11 = 278.81 : x
  2. Step 2: Convert to fraction form
    511.68/706.11 = 278.81/x
  3. Step 3: Cross multiply
    511.68x = 706.11 × 278.81
  4. Step 4: Simplify right side
    511.68x = 196,867.00
  5. Step 5: Solve for x
    x = 196,867.00/511.68
  6. Step 6: Final answer
    x = 384.75

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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.