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Finding the Fourth Proportional to 712.50, 982.78 and 417.56

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Solution

The fourth proportional to 712.50, 982.78 and 417.56 is: 575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.50 : 982.78 = 417.56 : x
  2. Step 2: Convert to fraction form
    712.50/982.78 = 417.56/x
  3. Step 3: Cross multiply
    712.50x = 982.78 × 417.56
  4. Step 4: Simplify right side
    712.50x = 410,366.01
  5. Step 5: Solve for x
    x = 410,366.01/712.50
  6. Step 6: Final answer
    x = 575.96

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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.