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Finding the Fourth Proportional to 511.64, 705.95 and 301.80

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Solution

The fourth proportional to 511.64, 705.95 and 301.80 is: 416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.64 : 705.95 = 301.80 : x
  2. Step 2: Convert to fraction form
    511.64/705.95 = 301.80/x
  3. Step 3: Cross multiply
    511.64x = 705.95 × 301.80
  4. Step 4: Simplify right side
    511.64x = 213,055.97
  5. Step 5: Solve for x
    x = 213,055.97/511.64
  6. Step 6: Final answer
    x = 416.42

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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.