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Finding the Fourth Proportional to 438.33, 657.30 and 255.78

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Solution

The fourth proportional to 438.33, 657.30 and 255.78 is: 383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.33 : 657.30 = 255.78 : x
  2. Step 2: Convert to fraction form
    438.33/657.30 = 255.78/x
  3. Step 3: Cross multiply
    438.33x = 657.30 × 255.78
  4. Step 4: Simplify right side
    438.33x = 168,124.19
  5. Step 5: Solve for x
    x = 168,124.19/438.33
  6. Step 6: Final answer
    x = 383.56

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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.