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Finding the Fourth Proportional to 680.72, 1,021.32 and 296

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Solution

The fourth proportional to 680.72, 1,021.32 and 296 is: 444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.72 : 1,021.32 = 296 : x
  2. Step 2: Convert to fraction form
    680.72/1,021.32 = 296/x
  3. Step 3: Cross multiply
    680.72x = 1,021.32 × 296
  4. Step 4: Simplify right side
    680.72x = 302,310.72
  5. Step 5: Solve for x
    x = 302,310.72/680.72
  6. Step 6: Final answer
    x = 444.10

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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.