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Finding the Fourth Proportional to 716.54, 988.84 and 450.98

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Solution

The fourth proportional to 716.54, 988.84 and 450.98 is: 622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.54 : 988.84 = 450.98 : x
  2. Step 2: Convert to fraction form
    716.54/988.84 = 450.98/x
  3. Step 3: Cross multiply
    716.54x = 988.84 × 450.98
  4. Step 4: Simplify right side
    716.54x = 445,947.06
  5. Step 5: Solve for x
    x = 445,947.06/716.54
  6. Step 6: Final answer
    x = 622.36

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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.