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Finding the Fourth Proportional to 287.10, 427.86 and 280.94

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Solution

The fourth proportional to 287.10, 427.86 and 280.94 is: 418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.10 : 427.86 = 280.94 : x
  2. Step 2: Convert to fraction form
    287.10/427.86 = 280.94/x
  3. Step 3: Cross multiply
    287.10x = 427.86 × 280.94
  4. Step 4: Simplify right side
    287.10x = 120,200.85
  5. Step 5: Solve for x
    x = 120,200.85/287.10
  6. Step 6: Final answer
    x = 418.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.