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Finding the Fourth Proportional to 511.36, 705.69 and 278.49

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Solution

The fourth proportional to 511.36, 705.69 and 278.49 is: 384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.36 : 705.69 = 278.49 : x
  2. Step 2: Convert to fraction form
    511.36/705.69 = 278.49/x
  3. Step 3: Cross multiply
    511.36x = 705.69 × 278.49
  4. Step 4: Simplify right side
    511.36x = 196,522.69
  5. Step 5: Solve for x
    x = 196,522.69/511.36
  6. Step 6: Final answer
    x = 384.31

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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.