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Finding the Fourth Proportional to 390.36, 588.21 and 323.38

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Solution

The fourth proportional to 390.36, 588.21 and 323.38 is: 487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.36 : 588.21 = 323.38 : x
  2. Step 2: Convert to fraction form
    390.36/588.21 = 323.38/x
  3. Step 3: Cross multiply
    390.36x = 588.21 × 323.38
  4. Step 4: Simplify right side
    390.36x = 190,215.35
  5. Step 5: Solve for x
    x = 190,215.35/390.36
  6. Step 6: Final answer
    x = 487.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.