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Finding the Fourth Proportional to 329.77, 455.15 and 230.14

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Solution

The fourth proportional to 329.77, 455.15 and 230.14 is: 317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.77 : 455.15 = 230.14 : x
  2. Step 2: Convert to fraction form
    329.77/455.15 = 230.14/x
  3. Step 3: Cross multiply
    329.77x = 455.15 × 230.14
  4. Step 4: Simplify right side
    329.77x = 104,749.37
  5. Step 5: Solve for x
    x = 104,749.37/329.77
  6. Step 6: Final answer
    x = 317.64

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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.