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Finding the Fourth Proportional to 902.10, 1,352.77 and 285.86

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Solution

The fourth proportional to 902.10, 1,352.77 and 285.86 is: 428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.10 : 1,352.77 = 285.86 : x
  2. Step 2: Convert to fraction form
    902.10/1,352.77 = 285.86/x
  3. Step 3: Cross multiply
    902.10x = 1,352.77 × 285.86
  4. Step 4: Simplify right side
    902.10x = 386,705.50
  5. Step 5: Solve for x
    x = 386,705.50/902.10
  6. Step 6: Final answer
    x = 428.67

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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.