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Finding the Fourth Proportional to 713.32, 984.40 and 418.60

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Solution

The fourth proportional to 713.32, 984.40 and 418.60 is: 577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.32 : 984.40 = 418.60 : x
  2. Step 2: Convert to fraction form
    713.32/984.40 = 418.60/x
  3. Step 3: Cross multiply
    713.32x = 984.40 × 418.60
  4. Step 4: Simplify right side
    713.32x = 412,069.84
  5. Step 5: Solve for x
    x = 412,069.84/713.32
  6. Step 6: Final answer
    x = 577.68

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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.