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Finding the Fourth Proportional to 496.32, 744.48 and 409.56

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Solution

The fourth proportional to 496.32, 744.48 and 409.56 is: 614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.32 : 744.48 = 409.56 : x
  2. Step 2: Convert to fraction form
    496.32/744.48 = 409.56/x
  3. Step 3: Cross multiply
    496.32x = 744.48 × 409.56
  4. Step 4: Simplify right side
    496.32x = 304,909.23
  5. Step 5: Solve for x
    x = 304,909.23/496.32
  6. Step 6: Final answer
    x = 614.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.