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Finding the Fourth Proportional to 437.40, 654.89 and 220.52

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Solution

The fourth proportional to 437.40, 654.89 and 220.52 is: 330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.40 : 654.89 = 220.52 : x
  2. Step 2: Convert to fraction form
    437.40/654.89 = 220.52/x
  3. Step 3: Cross multiply
    437.40x = 654.89 × 220.52
  4. Step 4: Simplify right side
    437.40x = 144,416.88
  5. Step 5: Solve for x
    x = 144,416.88/437.40
  6. Step 6: Final answer
    x = 330.17

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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.