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Finding the Fourth Proportional to 653.91, 901.73 and 454.97

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Solution

The fourth proportional to 653.91, 901.73 and 454.97 is: 627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.91 : 901.73 = 454.97 : x
  2. Step 2: Convert to fraction form
    653.91/901.73 = 454.97/x
  3. Step 3: Cross multiply
    653.91x = 901.73 × 454.97
  4. Step 4: Simplify right side
    653.91x = 410,257.82
  5. Step 5: Solve for x
    x = 410,257.82/653.91
  6. Step 6: Final answer
    x = 627.39

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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.