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Finding the Fourth Proportional to 319.87, 477.38 and 311.67

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Solution

The fourth proportional to 319.87, 477.38 and 311.67 is: 465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.87 : 477.38 = 311.67 : x
  2. Step 2: Convert to fraction form
    319.87/477.38 = 311.67/x
  3. Step 3: Cross multiply
    319.87x = 477.38 × 311.67
  4. Step 4: Simplify right side
    319.87x = 148,785.02
  5. Step 5: Solve for x
    x = 148,785.02/319.87
  6. Step 6: Final answer
    x = 465.14

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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.