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Finding the Fourth Proportional to 643.52, 964.74 and 259.04

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Solution

The fourth proportional to 643.52, 964.74 and 259.04 is: 388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.52 : 964.74 = 259.04 : x
  2. Step 2: Convert to fraction form
    643.52/964.74 = 259.04/x
  3. Step 3: Cross multiply
    643.52x = 964.74 × 259.04
  4. Step 4: Simplify right side
    643.52x = 249,906.25
  5. Step 5: Solve for x
    x = 249,906.25/643.52
  6. Step 6: Final answer
    x = 388.34

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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.