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Finding the Fourth Proportional to 656.26, 984.32 and 412.06

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Solution

The fourth proportional to 656.26, 984.32 and 412.06 is: 618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.26 : 984.32 = 412.06 : x
  2. Step 2: Convert to fraction form
    656.26/984.32 = 412.06/x
  3. Step 3: Cross multiply
    656.26x = 984.32 × 412.06
  4. Step 4: Simplify right side
    656.26x = 405,598.90
  5. Step 5: Solve for x
    x = 405,598.90/656.26
  6. Step 6: Final answer
    x = 618.05

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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.