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Finding the Fourth Proportional to 656.40, 984.34 and 217.54

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Solution

The fourth proportional to 656.40, 984.34 and 217.54 is: 326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.40 : 984.34 = 217.54 : x
  2. Step 2: Convert to fraction form
    656.40/984.34 = 217.54/x
  3. Step 3: Cross multiply
    656.40x = 984.34 × 217.54
  4. Step 4: Simplify right side
    656.40x = 214,127.31
  5. Step 5: Solve for x
    x = 214,127.31/656.40
  6. Step 6: Final answer
    x = 326.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.