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Finding the Fourth Proportional to 407.51, 562.32 and 241.69

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Solution

The fourth proportional to 407.51, 562.32 and 241.69 is: 333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.51 : 562.32 = 241.69 : x
  2. Step 2: Convert to fraction form
    407.51/562.32 = 241.69/x
  3. Step 3: Cross multiply
    407.51x = 562.32 × 241.69
  4. Step 4: Simplify right side
    407.51x = 135,907.12
  5. Step 5: Solve for x
    x = 135,907.12/407.51
  6. Step 6: Final answer
    x = 333.51

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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.