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Finding the Fourth Proportional to 407.33, 610.93 and 133.43

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Solution

The fourth proportional to 407.33, 610.93 and 133.43 is: 200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.33 : 610.93 = 133.43 : x
  2. Step 2: Convert to fraction form
    407.33/610.93 = 133.43/x
  3. Step 3: Cross multiply
    407.33x = 610.93 × 133.43
  4. Step 4: Simplify right side
    407.33x = 81,514.86
  5. Step 5: Solve for x
    x = 81,514.86/407.33
  6. Step 6: Final answer
    x = 200.12

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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.