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Finding the Fourth Proportional to 511.56, 706.02 and 301.84

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Solution

The fourth proportional to 511.56, 706.02 and 301.84 is: 416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.56 : 706.02 = 301.84 : x
  2. Step 2: Convert to fraction form
    511.56/706.02 = 301.84/x
  3. Step 3: Cross multiply
    511.56x = 706.02 × 301.84
  4. Step 4: Simplify right side
    511.56x = 213,105.08
  5. Step 5: Solve for x
    x = 213,105.08/511.56
  6. Step 6: Final answer
    x = 416.58

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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.