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Finding the Fourth Proportional to 506.40, 755.32 and 464.44

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Solution

The fourth proportional to 506.40, 755.32 and 464.44 is: 692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.40 : 755.32 = 464.44 : x
  2. Step 2: Convert to fraction form
    506.40/755.32 = 464.44/x
  3. Step 3: Cross multiply
    506.40x = 755.32 × 464.44
  4. Step 4: Simplify right side
    506.40x = 350,800.82
  5. Step 5: Solve for x
    x = 350,800.82/506.40
  6. Step 6: Final answer
    x = 692.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.