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Finding the Fourth Proportional to 438.17, 657.21 and 113.52

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Solution

The fourth proportional to 438.17, 657.21 and 113.52 is: 170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.17 : 657.21 = 113.52 : x
  2. Step 2: Convert to fraction form
    438.17/657.21 = 113.52/x
  3. Step 3: Cross multiply
    438.17x = 657.21 × 113.52
  4. Step 4: Simplify right side
    438.17x = 74,606.48
  5. Step 5: Solve for x
    x = 74,606.48/438.17
  6. Step 6: Final answer
    x = 170.27

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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.