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Finding the Fourth Proportional to 407.40, 562.36 and 241.60

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Solution

The fourth proportional to 407.40, 562.36 and 241.60 is: 333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.40 : 562.36 = 241.60 : x
  2. Step 2: Convert to fraction form
    407.40/562.36 = 241.60/x
  3. Step 3: Cross multiply
    407.40x = 562.36 × 241.60
  4. Step 4: Simplify right side
    407.40x = 135,866.18
  5. Step 5: Solve for x
    x = 135,866.18/407.40
  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.