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Finding the Fourth Proportional to 407.60, 562.30 and 241.75

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Solution

The fourth proportional to 407.60, 562.30 and 241.75 is: 333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.60 : 562.30 = 241.75 : x
  2. Step 2: Convert to fraction form
    407.60/562.30 = 241.75/x
  3. Step 3: Cross multiply
    407.60x = 562.30 × 241.75
  4. Step 4: Simplify right side
    407.60x = 135,936.03
  5. Step 5: Solve for x
    x = 135,936.03/407.60
  6. Step 6: Final answer
    x = 333.50

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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.