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Finding the Fourth Proportional to 483.39, 667.02 and 296.89

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Solution

The fourth proportional to 483.39, 667.02 and 296.89 is: 409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.39 : 667.02 = 296.89 : x
  2. Step 2: Convert to fraction form
    483.39/667.02 = 296.89/x
  3. Step 3: Cross multiply
    483.39x = 667.02 × 296.89
  4. Step 4: Simplify right side
    483.39x = 198,029.90
  5. Step 5: Solve for x
    x = 198,029.90/483.39
  6. Step 6: Final answer
    x = 409.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.