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Finding the Fourth Proportional to 405.22, 608.07 and 170.95

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Solution

The fourth proportional to 405.22, 608.07 and 170.95 is: 256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.22 : 608.07 = 170.95 : x
  2. Step 2: Convert to fraction form
    405.22/608.07 = 170.95/x
  3. Step 3: Cross multiply
    405.22x = 608.07 × 170.95
  4. Step 4: Simplify right side
    405.22x = 103,947.02
  5. Step 5: Solve for x
    x = 103,947.02/405.22
  6. Step 6: Final answer
    x = 256.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.