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Finding the Fourth Proportional to 505.56, 693.12 and 496.33

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Solution

The fourth proportional to 505.56, 693.12 and 496.33 is: 680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.56 : 693.12 = 496.33 : x
  2. Step 2: Convert to fraction form
    505.56/693.12 = 496.33/x
  3. Step 3: Cross multiply
    505.56x = 693.12 × 496.33
  4. Step 4: Simplify right side
    505.56x = 344,019.35
  5. Step 5: Solve for x
    x = 344,019.35/505.56
  6. Step 6: Final answer
    x = 680.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.