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Finding the Fourth Proportional to 653.78, 902.25 and 359.03

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Solution

The fourth proportional to 653.78, 902.25 and 359.03 is: 495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.78 : 902.25 = 359.03 : x
  2. Step 2: Convert to fraction form
    653.78/902.25 = 359.03/x
  3. Step 3: Cross multiply
    653.78x = 902.25 × 359.03
  4. Step 4: Simplify right side
    653.78x = 323,934.82
  5. Step 5: Solve for x
    x = 323,934.82/653.78
  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.