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Finding the Fourth Proportional to 434.56, 652.20 and 218.56

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Solution

The fourth proportional to 434.56, 652.20 and 218.56 is: 328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.56 : 652.20 = 218.56 : x
  2. Step 2: Convert to fraction form
    434.56/652.20 = 218.56/x
  3. Step 3: Cross multiply
    434.56x = 652.20 × 218.56
  4. Step 4: Simplify right side
    434.56x = 142,544.83
  5. Step 5: Solve for x
    x = 142,544.83/434.56
  6. Step 6: Final answer
    x = 328.02

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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.