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Finding the Fourth Proportional to 477.96, 715.72 and 323.64

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Solution

The fourth proportional to 477.96, 715.72 and 323.64 is: 484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.96 : 715.72 = 323.64 : x
  2. Step 2: Convert to fraction form
    477.96/715.72 = 323.64/x
  3. Step 3: Cross multiply
    477.96x = 715.72 × 323.64
  4. Step 4: Simplify right side
    477.96x = 231,635.62
  5. Step 5: Solve for x
    x = 231,635.62/477.96
  6. Step 6: Final answer
    x = 484.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.