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Finding the Fourth Proportional to 656.30, 984.87 and 396.26

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Solution

The fourth proportional to 656.30, 984.87 and 396.26 is: 594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.30 : 984.87 = 396.26 : x
  2. Step 2: Convert to fraction form
    656.30/984.87 = 396.26/x
  3. Step 3: Cross multiply
    656.30x = 984.87 × 396.26
  4. Step 4: Simplify right side
    656.30x = 390,264.59
  5. Step 5: Solve for x
    x = 390,264.59/656.30
  6. Step 6: Final answer
    x = 594.64

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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.