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Finding the Fourth Proportional to 405.30, 608.13 and 185.99

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Solution

The fourth proportional to 405.30, 608.13 and 185.99 is: 279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.30 : 608.13 = 185.99 : x
  2. Step 2: Convert to fraction form
    405.30/608.13 = 185.99/x
  3. Step 3: Cross multiply
    405.30x = 608.13 × 185.99
  4. Step 4: Simplify right side
    405.30x = 113,102.13
  5. Step 5: Solve for x
    x = 113,102.13/405.30
  6. Step 6: Final answer
    x = 279.06

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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.