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Finding the Fourth Proportional to 438.20, 657.56 and 320.84

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Solution

The fourth proportional to 438.20, 657.56 and 320.84 is: 481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.20 : 657.56 = 320.84 : x
  2. Step 2: Convert to fraction form
    438.20/657.56 = 320.84/x
  3. Step 3: Cross multiply
    438.20x = 657.56 × 320.84
  4. Step 4: Simplify right side
    438.20x = 210,971.55
  5. Step 5: Solve for x
    x = 210,971.55/438.20
  6. Step 6: Final answer
    x = 481.45

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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.