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Finding the Fourth Proportional to 456.26, 683.40 and 293.54

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Solution

The fourth proportional to 456.26, 683.40 and 293.54 is: 439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.26 : 683.40 = 293.54 : x
  2. Step 2: Convert to fraction form
    456.26/683.40 = 293.54/x
  3. Step 3: Cross multiply
    456.26x = 683.40 × 293.54
  4. Step 4: Simplify right side
    456.26x = 200,605.24
  5. Step 5: Solve for x
    x = 200,605.24/456.26
  6. Step 6: Final answer
    x = 439.67

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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.