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Finding the Fourth Proportional to 713.42, 984.21 and 414.64

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Solution

The fourth proportional to 713.42, 984.21 and 414.64 is: 572.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.42 : 984.21 = 414.64 : x
  2. Step 2: Convert to fraction form
    713.42/984.21 = 414.64/x
  3. Step 3: Cross multiply
    713.42x = 984.21 × 414.64
  4. Step 4: Simplify right side
    713.42x = 408,092.83
  5. Step 5: Solve for x
    x = 408,092.83/713.42
  6. Step 6: Final answer
    x = 572.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.