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Finding the Fourth Proportional to 511.58, 705.99 and 278.71

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Solution

The fourth proportional to 511.58, 705.99 and 278.71 is: 384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.58 : 705.99 = 278.71 : x
  2. Step 2: Convert to fraction form
    511.58/705.99 = 278.71/x
  3. Step 3: Cross multiply
    511.58x = 705.99 × 278.71
  4. Step 4: Simplify right side
    511.58x = 196,765.08
  5. Step 5: Solve for x
    x = 196,765.08/511.58
  6. Step 6: Final answer
    x = 384.62

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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.