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Finding the Fourth Proportional to 313.20, 466.54 and 311.72

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Solution

The fourth proportional to 313.20, 466.54 and 311.72 is: 464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.20 : 466.54 = 311.72 : x
  2. Step 2: Convert to fraction form
    313.20/466.54 = 311.72/x
  3. Step 3: Cross multiply
    313.20x = 466.54 × 311.72
  4. Step 4: Simplify right side
    313.20x = 145,426.74
  5. Step 5: Solve for x
    x = 145,426.74/313.20
  6. Step 6: Final answer
    x = 464.33

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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.