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Finding the Fourth Proportional to 390.37, 585.64 and 130.39

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Solution

The fourth proportional to 390.37, 585.64 and 130.39 is: 195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.37 : 585.64 = 130.39 : x
  2. Step 2: Convert to fraction form
    390.37/585.64 = 130.39/x
  3. Step 3: Cross multiply
    390.37x = 585.64 × 130.39
  4. Step 4: Simplify right side
    390.37x = 76,361.60
  5. Step 5: Solve for x
    x = 76,361.60/390.37
  6. Step 6: Final answer
    x = 195.61

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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.