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Finding the Fourth Proportional to 405.25, 607.87 and 385.57

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Solution

The fourth proportional to 405.25, 607.87 and 385.57 is: 578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.25 : 607.87 = 385.57 : x
  2. Step 2: Convert to fraction form
    405.25/607.87 = 385.57/x
  3. Step 3: Cross multiply
    405.25x = 607.87 × 385.57
  4. Step 4: Simplify right side
    405.25x = 234,376.44
  5. Step 5: Solve for x
    x = 234,376.44/405.25
  6. Step 6: Final answer
    x = 578.35

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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.