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Finding the Fourth Proportional to 505.22, 756.90 and 450.56

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Solution

The fourth proportional to 505.22, 756.90 and 450.56 is: 675.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.22 : 756.90 = 450.56 : x
  2. Step 2: Convert to fraction form
    505.22/756.90 = 450.56/x
  3. Step 3: Cross multiply
    505.22x = 756.90 × 450.56
  4. Step 4: Simplify right side
    505.22x = 341,028.86
  5. Step 5: Solve for x
    x = 341,028.86/505.22
  6. Step 6: Final answer
    x = 675.01

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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.