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Finding the Fourth Proportional to 656.02, 984.21 and 309.52

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Solution

The fourth proportional to 656.02, 984.21 and 309.52 is: 464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.02 : 984.21 = 309.52 : x
  2. Step 2: Convert to fraction form
    656.02/984.21 = 309.52/x
  3. Step 3: Cross multiply
    656.02x = 984.21 × 309.52
  4. Step 4: Simplify right side
    656.02x = 304,632.68
  5. Step 5: Solve for x
    x = 304,632.68/656.02
  6. Step 6: Final answer
    x = 464.36

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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.