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Finding the Fourth Proportional to 643.52, 964.32 and 480.96

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Solution

The fourth proportional to 643.52, 964.32 and 480.96 is: 720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.52 : 964.32 = 480.96 : x
  2. Step 2: Convert to fraction form
    643.52/964.32 = 480.96/x
  3. Step 3: Cross multiply
    643.52x = 964.32 × 480.96
  4. Step 4: Simplify right side
    643.52x = 463,799.35
  5. Step 5: Solve for x
    x = 463,799.35/643.52
  6. Step 6: Final answer
    x = 720.72

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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.