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Finding the Fourth Proportional to 511.19, 705.23 and 301.03

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Solution

The fourth proportional to 511.19, 705.23 and 301.03 is: 415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.19 : 705.23 = 301.03 : x
  2. Step 2: Convert to fraction form
    511.19/705.23 = 301.03/x
  3. Step 3: Cross multiply
    511.19x = 705.23 × 301.03
  4. Step 4: Simplify right side
    511.19x = 212,295.39
  5. Step 5: Solve for x
    x = 212,295.39/511.19
  6. Step 6: Final answer
    x = 415.30

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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.