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Finding the Fourth Proportional to 438.42, 657.64 and 113.77

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Solution

The fourth proportional to 438.42, 657.64 and 113.77 is: 170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.42 : 657.64 = 113.77 : x
  2. Step 2: Convert to fraction form
    438.42/657.64 = 113.77/x
  3. Step 3: Cross multiply
    438.42x = 657.64 × 113.77
  4. Step 4: Simplify right side
    438.42x = 74,816.33
  5. Step 5: Solve for x
    x = 74,816.33/438.42
  6. Step 6: Final answer
    x = 170.65

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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.