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Finding the Fourth Proportional to 406.96, 561.36 and 324

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Solution

The fourth proportional to 406.96, 561.36 and 324 is: 446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.96 : 561.36 = 324 : x
  2. Step 2: Convert to fraction form
    406.96/561.36 = 324/x
  3. Step 3: Cross multiply
    406.96x = 561.36 × 324
  4. Step 4: Simplify right side
    406.96x = 181,880.64
  5. Step 5: Solve for x
    x = 181,880.64/406.96
  6. Step 6: Final answer
    x = 446.93

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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.