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Finding the Fourth Proportional to 329.41, 454.06 and 259.36

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Solution

The fourth proportional to 329.41, 454.06 and 259.36 is: 357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.41 : 454.06 = 259.36 : x
  2. Step 2: Convert to fraction form
    329.41/454.06 = 259.36/x
  3. Step 3: Cross multiply
    329.41x = 454.06 × 259.36
  4. Step 4: Simplify right side
    329.41x = 117,762.43
  5. Step 5: Solve for x
    x = 117,762.43/329.41
  6. Step 6: Final answer
    x = 357.50

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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.