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Finding the Fourth Proportional to 654.21, 902.93 and 496.56

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Solution

The fourth proportional to 654.21, 902.93 and 496.56 is: 685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.21 : 902.93 = 496.56 : x
  2. Step 2: Convert to fraction form
    654.21/902.93 = 496.56/x
  3. Step 3: Cross multiply
    654.21x = 902.93 × 496.56
  4. Step 4: Simplify right side
    654.21x = 448,358.92
  5. Step 5: Solve for x
    x = 448,358.92/654.21
  6. Step 6: Final answer
    x = 685.34

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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.