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Finding the Fourth Proportional to 712.50, 982.38 and 460.02

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Solution

The fourth proportional to 712.50, 982.38 and 460.02 is: 634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.50 : 982.38 = 460.02 : x
  2. Step 2: Convert to fraction form
    712.50/982.38 = 460.02/x
  3. Step 3: Cross multiply
    712.50x = 982.38 × 460.02
  4. Step 4: Simplify right side
    712.50x = 451,914.45
  5. Step 5: Solve for x
    x = 451,914.45/712.50
  6. Step 6: Final answer
    x = 634.27

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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.