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Finding the Fourth Proportional to 503.24, 754.86 and 297.56

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Solution

The fourth proportional to 503.24, 754.86 and 297.56 is: 446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.24 : 754.86 = 297.56 : x
  2. Step 2: Convert to fraction form
    503.24/754.86 = 297.56/x
  3. Step 3: Cross multiply
    503.24x = 754.86 × 297.56
  4. Step 4: Simplify right side
    503.24x = 224,612.37
  5. Step 5: Solve for x
    x = 224,612.37/503.24
  6. Step 6: Final answer
    x = 446.34

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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.