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Finding the Fourth Proportional to 511.49, 705.87 and 301.65

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Solution

The fourth proportional to 511.49, 705.87 and 301.65 is: 416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.49 : 705.87 = 301.65 : x
  2. Step 2: Convert to fraction form
    511.49/705.87 = 301.65/x
  3. Step 3: Cross multiply
    511.49x = 705.87 × 301.65
  4. Step 4: Simplify right side
    511.49x = 212,923.04
  5. Step 5: Solve for x
    x = 212,923.04/511.49
  6. Step 6: Final answer
    x = 416.28

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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.