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Finding the Fourth Proportional to 511.26, 705.56 and 301.47

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Solution

The fourth proportional to 511.26, 705.56 and 301.47 is: 416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.26 : 705.56 = 301.47 : x
  2. Step 2: Convert to fraction form
    511.26/705.56 = 301.47/x
  3. Step 3: Cross multiply
    511.26x = 705.56 × 301.47
  4. Step 4: Simplify right side
    511.26x = 212,703.67
  5. Step 5: Solve for x
    x = 212,703.67/511.26
  6. Step 6: Final answer
    x = 416.04

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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.