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Finding the Fourth Proportional to 307.09, 459.69 and 229.60

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Solution

The fourth proportional to 307.09, 459.69 and 229.60 is: 343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.09 : 459.69 = 229.60 : x
  2. Step 2: Convert to fraction form
    307.09/459.69 = 229.60/x
  3. Step 3: Cross multiply
    307.09x = 459.69 × 229.60
  4. Step 4: Simplify right side
    307.09x = 105,544.82
  5. Step 5: Solve for x
    x = 105,544.82/307.09
  6. Step 6: Final answer
    x = 343.69

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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.