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Finding the Fourth Proportional to 422.51, 632.84 and 259.70

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Solution

The fourth proportional to 422.51, 632.84 and 259.70 is: 388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.51 : 632.84 = 259.70 : x
  2. Step 2: Convert to fraction form
    422.51/632.84 = 259.70/x
  3. Step 3: Cross multiply
    422.51x = 632.84 × 259.70
  4. Step 4: Simplify right side
    422.51x = 164,344.09
  5. Step 5: Solve for x
    x = 164,344.09/422.51
  6. Step 6: Final answer
    x = 388.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.