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Finding the Fourth Proportional to 329.06, 454.37 and 259.40

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Solution

The fourth proportional to 329.06, 454.37 and 259.40 is: 358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.06 : 454.37 = 259.40 : x
  2. Step 2: Convert to fraction form
    329.06/454.37 = 259.40/x
  3. Step 3: Cross multiply
    329.06x = 454.37 × 259.40
  4. Step 4: Simplify right side
    329.06x = 117,860.01
  5. Step 5: Solve for x
    x = 117,860.01/329.06
  6. Step 6: Final answer
    x = 358.18

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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.