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Finding the Fourth Proportional to 511.20, 705.24 and 422.64

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Solution

The fourth proportional to 511.20, 705.24 and 422.64 is: 583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.20 : 705.24 = 422.64 : x
  2. Step 2: Convert to fraction form
    511.20/705.24 = 422.64/x
  3. Step 3: Cross multiply
    511.20x = 705.24 × 422.64
  4. Step 4: Simplify right side
    511.20x = 298,062.63
  5. Step 5: Solve for x
    x = 298,062.63/511.20
  6. Step 6: Final answer
    x = 583.06

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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.