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Finding the Fourth Proportional to 649.65, 896.34 and 380.46

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Solution

The fourth proportional to 649.65, 896.34 and 380.46 is: 524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.65 : 896.34 = 380.46 : x
  2. Step 2: Convert to fraction form
    649.65/896.34 = 380.46/x
  3. Step 3: Cross multiply
    649.65x = 896.34 × 380.46
  4. Step 4: Simplify right side
    649.65x = 341,021.52
  5. Step 5: Solve for x
    x = 341,021.52/649.65
  6. Step 6: Final answer
    x = 524.93

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