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Finding the Fourth Proportional to 654.26, 901.82 and 496.37

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Solution

The fourth proportional to 654.26, 901.82 and 496.37 is: 684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.26 : 901.82 = 496.37 : x
  2. Step 2: Convert to fraction form
    654.26/901.82 = 496.37/x
  3. Step 3: Cross multiply
    654.26x = 901.82 × 496.37
  4. Step 4: Simplify right side
    654.26x = 447,639.89
  5. Step 5: Solve for x
    x = 447,639.89/654.26
  6. Step 6: Final answer
    x = 684.20

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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.