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Finding the Fourth Proportional to 407.43, 562.33 and 241.65

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Solution

The fourth proportional to 407.43, 562.33 and 241.65 is: 333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.43 : 562.33 = 241.65 : x
  2. Step 2: Convert to fraction form
    407.43/562.33 = 241.65/x
  3. Step 3: Cross multiply
    407.43x = 562.33 × 241.65
  4. Step 4: Simplify right side
    407.43x = 135,887.04
  5. Step 5: Solve for x
    x = 135,887.04/407.43
  6. Step 6: Final answer
    x = 333.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.