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Finding the Fourth Proportional to 438.72, 657.60 and 276.48

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Solution

The fourth proportional to 438.72, 657.60 and 276.48 is: 414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.72 : 657.60 = 276.48 : x
  2. Step 2: Convert to fraction form
    438.72/657.60 = 276.48/x
  3. Step 3: Cross multiply
    438.72x = 657.60 × 276.48
  4. Step 4: Simplify right side
    438.72x = 181,813.25
  5. Step 5: Solve for x
    x = 181,813.25/438.72
  6. Step 6: Final answer
    x = 414.42

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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.