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Finding the Fourth Proportional to 386.58, 580.45 and 309.32

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Solution

The fourth proportional to 386.58, 580.45 and 309.32 is: 464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.58 : 580.45 = 309.32 : x
  2. Step 2: Convert to fraction form
    386.58/580.45 = 309.32/x
  3. Step 3: Cross multiply
    386.58x = 580.45 × 309.32
  4. Step 4: Simplify right side
    386.58x = 179,544.79
  5. Step 5: Solve for x
    x = 179,544.79/386.58
  6. Step 6: Final answer
    x = 464.44

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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.