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Finding the Fourth Proportional to 386.64, 580.20 and 290.64

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Solution

The fourth proportional to 386.64, 580.20 and 290.64 is: 436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.64 : 580.20 = 290.64 : x
  2. Step 2: Convert to fraction form
    386.64/580.20 = 290.64/x
  3. Step 3: Cross multiply
    386.64x = 580.20 × 290.64
  4. Step 4: Simplify right side
    386.64x = 168,629.33
  5. Step 5: Solve for x
    x = 168,629.33/386.64
  6. Step 6: Final answer
    x = 436.14

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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.