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Finding the Fourth Proportional to 390.35, 585.38 and 116.39

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Solution

The fourth proportional to 390.35, 585.38 and 116.39 is: 174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.35 : 585.38 = 116.39 : x
  2. Step 2: Convert to fraction form
    390.35/585.38 = 116.39/x
  3. Step 3: Cross multiply
    390.35x = 585.38 × 116.39
  4. Step 4: Simplify right side
    390.35x = 68,134.13
  5. Step 5: Solve for x
    x = 68,134.13/390.35
  6. Step 6: Final answer
    x = 174.55

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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.