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Finding the Fourth Proportional to 511.70, 670.26 and 511.70

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Solution

The fourth proportional to 511.70, 670.26 and 511.70 is: 670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.70 : 670.26 = 511.70 : x
  2. Step 2: Convert to fraction form
    511.70/670.26 = 511.70/x
  3. Step 3: Cross multiply
    511.70x = 670.26 × 511.70
  4. Step 4: Simplify right side
    511.70x = 342,969.48
  5. Step 5: Solve for x
    x = 342,969.48/511.70
  6. Step 6: Final answer
    x = 670.26

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.