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Finding the Fourth Proportional to 653.84, 902.31 and 359.13

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Solution

The fourth proportional to 653.84, 902.31 and 359.13 is: 495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.84 : 902.31 = 359.13 : x
  2. Step 2: Convert to fraction form
    653.84/902.31 = 359.13/x
  3. Step 3: Cross multiply
    653.84x = 902.31 × 359.13
  4. Step 4: Simplify right side
    653.84x = 324,046.59
  5. Step 5: Solve for x
    x = 324,046.59/653.84
  6. Step 6: Final answer
    x = 495.61

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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.