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Finding the Fourth Proportional to 313.42, 466.03 and 300.46

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Solution

The fourth proportional to 313.42, 466.03 and 300.46 is: 446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.42 : 466.03 = 300.46 : x
  2. Step 2: Convert to fraction form
    313.42/466.03 = 300.46/x
  3. Step 3: Cross multiply
    313.42x = 466.03 × 300.46
  4. Step 4: Simplify right side
    313.42x = 140,023.37
  5. Step 5: Solve for x
    x = 140,023.37/313.42
  6. Step 6: Final answer
    x = 446.76

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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.