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Finding the Fourth Proportional to 390.74, 585.99 and 185.09

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Solution

The fourth proportional to 390.74, 585.99 and 185.09 is: 277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.74 : 585.99 = 185.09 : x
  2. Step 2: Convert to fraction form
    390.74/585.99 = 185.09/x
  3. Step 3: Cross multiply
    390.74x = 585.99 × 185.09
  4. Step 4: Simplify right side
    390.74x = 108,457.96
  5. Step 5: Solve for x
    x = 108,457.96/390.74
  6. Step 6: Final answer
    x = 277.57

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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.