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Finding the Fourth Proportional to 653.78, 902.25 and 359.07

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Solution

The fourth proportional to 653.78, 902.25 and 359.07 is: 495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.78 : 902.25 = 359.07 : x
  2. Step 2: Convert to fraction form
    653.78/902.25 = 359.07/x
  3. Step 3: Cross multiply
    653.78x = 902.25 × 359.07
  4. Step 4: Simplify right side
    653.78x = 323,970.91
  5. Step 5: Solve for x
    x = 323,970.91/653.78
  6. Step 6: Final answer
    x = 495.54

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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.