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Finding the Fourth Proportional to 662.50, 913.03 and 537.49

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Solution

The fourth proportional to 662.50, 913.03 and 537.49 is: 740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.50 : 913.03 = 537.49 : x
  2. Step 2: Convert to fraction form
    662.50/913.03 = 537.49/x
  3. Step 3: Cross multiply
    662.50x = 913.03 × 537.49
  4. Step 4: Simplify right side
    662.50x = 490,744.49
  5. Step 5: Solve for x
    x = 490,744.49/662.50
  6. Step 6: Final answer
    x = 740.75

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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.