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Finding the Fourth Proportional to 390.20, 585.29 and 116.26

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Solution

The fourth proportional to 390.20, 585.29 and 116.26 is: 174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.20 : 585.29 = 116.26 : x
  2. Step 2: Convert to fraction form
    390.20/585.29 = 116.26/x
  3. Step 3: Cross multiply
    390.20x = 585.29 × 116.26
  4. Step 4: Simplify right side
    390.20x = 68,044.64
  5. Step 5: Solve for x
    x = 68,044.64/390.20
  6. Step 6: Final answer
    x = 174.39

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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.