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Finding the Fourth Proportional to 503.64, 755.24 and 298.24

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Solution

The fourth proportional to 503.64, 755.24 and 298.24 is: 447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.64 : 755.24 = 298.24 : x
  2. Step 2: Convert to fraction form
    503.64/755.24 = 298.24/x
  3. Step 3: Cross multiply
    503.64x = 755.24 × 298.24
  4. Step 4: Simplify right side
    503.64x = 225,242.78
  5. Step 5: Solve for x
    x = 225,242.78/503.64
  6. Step 6: Final answer
    x = 447.23

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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.