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Finding the Fourth Proportional to 713.21, 984.35 and 414.49

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Solution

The fourth proportional to 713.21, 984.35 and 414.49 is: 572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.21 : 984.35 = 414.49 : x
  2. Step 2: Convert to fraction form
    713.21/984.35 = 414.49/x
  3. Step 3: Cross multiply
    713.21x = 984.35 × 414.49
  4. Step 4: Simplify right side
    713.21x = 408,006.42
  5. Step 5: Solve for x
    x = 408,006.42/713.21
  6. Step 6: Final answer
    x = 572.07

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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.