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Finding the Fourth Proportional to 463.68, 640.32 and 289.08

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Solution

The fourth proportional to 463.68, 640.32 and 289.08 is: 399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.68 : 640.32 = 289.08 : x
  2. Step 2: Convert to fraction form
    463.68/640.32 = 289.08/x
  3. Step 3: Cross multiply
    463.68x = 640.32 × 289.08
  4. Step 4: Simplify right side
    463.68x = 185,103.71
  5. Step 5: Solve for x
    x = 185,103.71/463.68
  6. Step 6: Final answer
    x = 399.21

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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.