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Finding the Fourth Proportional to 407.28, 561.06 and 324.30

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Solution

The fourth proportional to 407.28, 561.06 and 324.30 is: 446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.28 : 561.06 = 324.30 : x
  2. Step 2: Convert to fraction form
    407.28/561.06 = 324.30/x
  3. Step 3: Cross multiply
    407.28x = 561.06 × 324.30
  4. Step 4: Simplify right side
    407.28x = 181,951.76
  5. Step 5: Solve for x
    x = 181,951.76/407.28
  6. Step 6: Final answer
    x = 446.75

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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.