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Finding the Fourth Proportional to 434.37, 650.73 and 218.10

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Solution

The fourth proportional to 434.37, 650.73 and 218.10 is: 326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.37 : 650.73 = 218.10 : x
  2. Step 2: Convert to fraction form
    434.37/650.73 = 218.10/x
  3. Step 3: Cross multiply
    434.37x = 650.73 × 218.10
  4. Step 4: Simplify right side
    434.37x = 141,924.21
  5. Step 5: Solve for x
    x = 141,924.21/434.37
  6. Step 6: Final answer
    x = 326.74

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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.