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Finding the Fourth Proportional to 713.76, 984.98 and 403.24

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Solution

The fourth proportional to 713.76, 984.98 and 403.24 is: 556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.76 : 984.98 = 403.24 : x
  2. Step 2: Convert to fraction form
    713.76/984.98 = 403.24/x
  3. Step 3: Cross multiply
    713.76x = 984.98 × 403.24
  4. Step 4: Simplify right side
    713.76x = 397,183.34
  5. Step 5: Solve for x
    x = 397,183.34/713.76
  6. Step 6: Final answer
    x = 556.47

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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.