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Finding the Fourth Proportional to 463.84, 640.32 and 289.44

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Solution

The fourth proportional to 463.84, 640.32 and 289.44 is: 399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.84 : 640.32 = 289.44 : x
  2. Step 2: Convert to fraction form
    463.84/640.32 = 289.44/x
  3. Step 3: Cross multiply
    463.84x = 640.32 × 289.44
  4. Step 4: Simplify right side
    463.84x = 185,334.22
  5. Step 5: Solve for x
    x = 185,334.22/463.84
  6. Step 6: Final answer
    x = 399.56

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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.