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Finding the Fourth Proportional to 313.05, 469.08 and 203.49

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Solution

The fourth proportional to 313.05, 469.08 and 203.49 is: 304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.05 : 469.08 = 203.49 : x
  2. Step 2: Convert to fraction form
    313.05/469.08 = 203.49/x
  3. Step 3: Cross multiply
    313.05x = 469.08 × 203.49
  4. Step 4: Simplify right side
    313.05x = 95,453.09
  5. Step 5: Solve for x
    x = 95,453.09/313.05
  6. Step 6: Final answer
    x = 304.91

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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.