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Finding the Fourth Proportional to 653.82, 902.23 and 391.78

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Solution

The fourth proportional to 653.82, 902.23 and 391.78 is: 540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.82 : 902.23 = 391.78 : x
  2. Step 2: Convert to fraction form
    653.82/902.23 = 391.78/x
  3. Step 3: Cross multiply
    653.82x = 902.23 × 391.78
  4. Step 4: Simplify right side
    653.82x = 353,475.67
  5. Step 5: Solve for x
    x = 353,475.67/653.82
  6. Step 6: Final answer
    x = 540.63

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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.