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Finding the Fourth Proportional to 380.54, 523.30 and 304.91

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Solution

The fourth proportional to 380.54, 523.30 and 304.91 is: 419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.54 : 523.30 = 304.91 : x
  2. Step 2: Convert to fraction form
    380.54/523.30 = 304.91/x
  3. Step 3: Cross multiply
    380.54x = 523.30 × 304.91
  4. Step 4: Simplify right side
    380.54x = 159,559.40
  5. Step 5: Solve for x
    x = 159,559.40/380.54
  6. Step 6: Final answer
    x = 419.30

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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.