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Finding the Fourth Proportional to 680.76, 1,021.54 and 296

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Solution

The fourth proportional to 680.76, 1,021.54 and 296 is: 444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.76 : 1,021.54 = 296 : x
  2. Step 2: Convert to fraction form
    680.76/1,021.54 = 296/x
  3. Step 3: Cross multiply
    680.76x = 1,021.54 × 296
  4. Step 4: Simplify right side
    680.76x = 302,375.84
  5. Step 5: Solve for x
    x = 302,375.84/680.76
  6. Step 6: Final answer
    x = 444.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.