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Finding the Fourth Proportional to 595, 892.50 and 287.11

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Solution

The fourth proportional to 595, 892.50 and 287.11 is: 430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    595 : 892.50 = 287.11 : x
  2. Step 2: Convert to fraction form
    595/892.50 = 287.11/x
  3. Step 3: Cross multiply
    595x = 892.50 × 287.11
  4. Step 4: Simplify right side
    595x = 256,245.68
  5. Step 5: Solve for x
    x = 256,245.68/595
  6. Step 6: Final answer
    x = 430.67

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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.