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Finding the Fourth Proportional to 407.51, 611.41 and 133.65

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Solution

The fourth proportional to 407.51, 611.41 and 133.65 is: 200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.51 : 611.41 = 133.65 : x
  2. Step 2: Convert to fraction form
    407.51/611.41 = 133.65/x
  3. Step 3: Cross multiply
    407.51x = 611.41 × 133.65
  4. Step 4: Simplify right side
    407.51x = 81,714.28
  5. Step 5: Solve for x
    x = 81,714.28/407.51
  6. Step 6: Final answer
    x = 200.52

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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.