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Finding the Fourth Proportional to 503.57, 755.49 and 455.37

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Solution

The fourth proportional to 503.57, 755.49 and 455.37 is: 683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.57 : 755.49 = 455.37 : x
  2. Step 2: Convert to fraction form
    503.57/755.49 = 455.37/x
  3. Step 3: Cross multiply
    503.57x = 755.49 × 455.37
  4. Step 4: Simplify right side
    503.57x = 344,027.48
  5. Step 5: Solve for x
    x = 344,027.48/503.57
  6. Step 6: Final answer
    x = 683.18

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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.