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Finding the Fourth Proportional to 407.22, 561.93 and 232.56

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Solution

The fourth proportional to 407.22, 561.93 and 232.56 is: 320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.22 : 561.93 = 232.56 : x
  2. Step 2: Convert to fraction form
    407.22/561.93 = 232.56/x
  3. Step 3: Cross multiply
    407.22x = 561.93 × 232.56
  4. Step 4: Simplify right side
    407.22x = 130,682.44
  5. Step 5: Solve for x
    x = 130,682.44/407.22
  6. Step 6: Final answer
    x = 320.91

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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.