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Finding the Fourth Proportional to 653.87, 902.34 and 359.14

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Solution

The fourth proportional to 653.87, 902.34 and 359.14 is: 495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.87 : 902.34 = 359.14 : x
  2. Step 2: Convert to fraction form
    653.87/902.34 = 359.14/x
  3. Step 3: Cross multiply
    653.87x = 902.34 × 359.14
  4. Step 4: Simplify right side
    653.87x = 324,061.88
  5. Step 5: Solve for x
    x = 324,061.88/653.87
  6. Step 6: Final answer
    x = 495.61

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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.