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Finding the Fourth Proportional to 405.12, 608.30 and 385.30

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Solution

The fourth proportional to 405.12, 608.30 and 385.30 is: 578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.12 : 608.30 = 385.30 : x
  2. Step 2: Convert to fraction form
    405.12/608.30 = 385.30/x
  3. Step 3: Cross multiply
    405.12x = 608.30 × 385.30
  4. Step 4: Simplify right side
    405.12x = 234,377.99
  5. Step 5: Solve for x
    x = 234,377.99/405.12
  6. Step 6: Final answer
    x = 578.54

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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.