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Finding the Fourth Proportional to 438.48, 657.96 and 311.28

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Solution

The fourth proportional to 438.48, 657.96 and 311.28 is: 467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.48 : 657.96 = 311.28 : x
  2. Step 2: Convert to fraction form
    438.48/657.96 = 311.28/x
  3. Step 3: Cross multiply
    438.48x = 657.96 × 311.28
  4. Step 4: Simplify right side
    438.48x = 204,809.79
  5. Step 5: Solve for x
    x = 204,809.79/438.48
  6. Step 6: Final answer
    x = 467.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.