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Finding the Fourth Proportional to 646.10, 891.46 and 380.56

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Solution

The fourth proportional to 646.10, 891.46 and 380.56 is: 525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.10 : 891.46 = 380.56 : x
  2. Step 2: Convert to fraction form
    646.10/891.46 = 380.56/x
  3. Step 3: Cross multiply
    646.10x = 891.46 × 380.56
  4. Step 4: Simplify right side
    646.10x = 339,249.56
  5. Step 5: Solve for x
    x = 339,249.56/646.10
  6. Step 6: Final answer
    x = 525.07

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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.