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Finding the Fourth Proportional to 308.54, 423.35 and 305.64

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Solution

The fourth proportional to 308.54, 423.35 and 305.64 is: 419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.54 : 423.35 = 305.64 : x
  2. Step 2: Convert to fraction form
    308.54/423.35 = 305.64/x
  3. Step 3: Cross multiply
    308.54x = 423.35 × 305.64
  4. Step 4: Simplify right side
    308.54x = 129,392.84
  5. Step 5: Solve for x
    x = 129,392.84/308.54
  6. Step 6: Final answer
    x = 419.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.