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Finding the Fourth Proportional to 511.57, 705.98 and 278.70

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Solution

The fourth proportional to 511.57, 705.98 and 278.70 is: 384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.57 : 705.98 = 278.70 : x
  2. Step 2: Convert to fraction form
    511.57/705.98 = 278.70/x
  3. Step 3: Cross multiply
    511.57x = 705.98 × 278.70
  4. Step 4: Simplify right side
    511.57x = 196,756.63
  5. Step 5: Solve for x
    x = 196,756.63/511.57
  6. Step 6: Final answer
    x = 384.61

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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.