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Finding the Fourth Proportional to 438.01, 657.16 and 255.45

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Solution

The fourth proportional to 438.01, 657.16 and 255.45 is: 383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.01 : 657.16 = 255.45 : x
  2. Step 2: Convert to fraction form
    438.01/657.16 = 255.45/x
  3. Step 3: Cross multiply
    438.01x = 657.16 × 255.45
  4. Step 4: Simplify right side
    438.01x = 167,874.78
  5. Step 5: Solve for x
    x = 167,874.78/438.01
  6. Step 6: Final answer
    x = 383.27

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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.