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Finding the Fourth Proportional to 407.94, 562.20 and 324.96

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Solution

The fourth proportional to 407.94, 562.20 and 324.96 is: 447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.94 : 562.20 = 324.96 : x
  2. Step 2: Convert to fraction form
    407.94/562.20 = 324.96/x
  3. Step 3: Cross multiply
    407.94x = 562.20 × 324.96
  4. Step 4: Simplify right side
    407.94x = 182,692.51
  5. Step 5: Solve for x
    x = 182,692.51/407.94
  6. Step 6: Final answer
    x = 447.84

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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.