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Finding the Fourth Proportional to 653.80, 902.26 and 391.78

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Solution

The fourth proportional to 653.80, 902.26 and 391.78 is: 540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.80 : 902.26 = 391.78 : x
  2. Step 2: Convert to fraction form
    653.80/902.26 = 391.78/x
  3. Step 3: Cross multiply
    653.80x = 902.26 × 391.78
  4. Step 4: Simplify right side
    653.80x = 353,487.42
  5. Step 5: Solve for x
    x = 353,487.42/653.80
  6. Step 6: Final answer
    x = 540.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.