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Finding the Fourth Proportional to 653.78, 902.18 and 359.06

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Solution

The fourth proportional to 653.78, 902.18 and 359.06 is: 495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.78 : 902.18 = 359.06 : x
  2. Step 2: Convert to fraction form
    653.78/902.18 = 359.06/x
  3. Step 3: Cross multiply
    653.78x = 902.18 × 359.06
  4. Step 4: Simplify right side
    653.78x = 323,936.75
  5. Step 5: Solve for x
    x = 323,936.75/653.78
  6. Step 6: Final answer
    x = 495.48

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Why These Related Problems?

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