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Finding the Fourth Proportional to 320.39, 480.76 and 183.71

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Solution

The fourth proportional to 320.39, 480.76 and 183.71 is: 275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.39 : 480.76 = 183.71 : x
  2. Step 2: Convert to fraction form
    320.39/480.76 = 183.71/x
  3. Step 3: Cross multiply
    320.39x = 480.76 × 183.71
  4. Step 4: Simplify right side
    320.39x = 88,320.42
  5. Step 5: Solve for x
    x = 88,320.42/320.39
  6. Step 6: Final answer
    x = 275.67

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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.