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Finding the Fourth Proportional to 407.29, 561.80 and 241.38

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Solution

The fourth proportional to 407.29, 561.80 and 241.38 is: 332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.29 : 561.80 = 241.38 : x
  2. Step 2: Convert to fraction form
    407.29/561.80 = 241.38/x
  3. Step 3: Cross multiply
    407.29x = 561.80 × 241.38
  4. Step 4: Simplify right side
    407.29x = 135,609.47
  5. Step 5: Solve for x
    x = 135,609.47/407.29
  6. Step 6: Final answer
    x = 332.96

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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.