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Finding the Fourth Proportional to 407.64, 562.46 and 232.94

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Solution

The fourth proportional to 407.64, 562.46 and 232.94 is: 321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.64 : 562.46 = 232.94 : x
  2. Step 2: Convert to fraction form
    407.64/562.46 = 232.94/x
  3. Step 3: Cross multiply
    407.64x = 562.46 × 232.94
  4. Step 4: Simplify right side
    407.64x = 131,019.43
  5. Step 5: Solve for x
    x = 131,019.43/407.64
  6. Step 6: Final answer
    x = 321.41

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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.