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Finding the Fourth Proportional to 434.15, 650.31 and 414.10

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Solution

The fourth proportional to 434.15, 650.31 and 414.10 is: 620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.15 : 650.31 = 414.10 : x
  2. Step 2: Convert to fraction form
    434.15/650.31 = 414.10/x
  3. Step 3: Cross multiply
    434.15x = 650.31 × 414.10
  4. Step 4: Simplify right side
    434.15x = 269,293.37
  5. Step 5: Solve for x
    x = 269,293.37/434.15
  6. Step 6: Final answer
    x = 620.28

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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.