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Finding the Fourth Proportional to 386.88, 580.32 and 301.44

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Solution

The fourth proportional to 386.88, 580.32 and 301.44 is: 452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.88 : 580.32 = 301.44 : x
  2. Step 2: Convert to fraction form
    386.88/580.32 = 301.44/x
  3. Step 3: Cross multiply
    386.88x = 580.32 × 301.44
  4. Step 4: Simplify right side
    386.88x = 174,931.66
  5. Step 5: Solve for x
    x = 174,931.66/386.88
  6. Step 6: Final answer
    x = 452.16

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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.