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Finding the Fourth Proportional to 407.25, 561.94 and 232.56

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Solution

The fourth proportional to 407.25, 561.94 and 232.56 is: 320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.25 : 561.94 = 232.56 : x
  2. Step 2: Convert to fraction form
    407.25/561.94 = 232.56/x
  3. Step 3: Cross multiply
    407.25x = 561.94 × 232.56
  4. Step 4: Simplify right side
    407.25x = 130,684.77
  5. Step 5: Solve for x
    x = 130,684.77/407.25
  6. Step 6: Final answer
    x = 320.90

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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.