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Finding the Fourth Proportional to 466.14, 643.26 and 259.14

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Solution

The fourth proportional to 466.14, 643.26 and 259.14 is: 357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.14 : 643.26 = 259.14 : x
  2. Step 2: Convert to fraction form
    466.14/643.26 = 259.14/x
  3. Step 3: Cross multiply
    466.14x = 643.26 × 259.14
  4. Step 4: Simplify right side
    466.14x = 166,694.40
  5. Step 5: Solve for x
    x = 166,694.40/466.14
  6. Step 6: Final answer
    x = 357.61

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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.