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Finding the Fourth Proportional to 653.82, 902.33 and 359.10

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Solution

The fourth proportional to 653.82, 902.33 and 359.10 is: 495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.82 : 902.33 = 359.10 : x
  2. Step 2: Convert to fraction form
    653.82/902.33 = 359.10/x
  3. Step 3: Cross multiply
    653.82x = 902.33 × 359.10
  4. Step 4: Simplify right side
    653.82x = 324,024.91
  5. Step 5: Solve for x
    x = 324,024.91/653.82
  6. Step 6: Final answer
    x = 495.59

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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.