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Finding the Fourth Proportional to 637.92, 960.84 and 468

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Solution

The fourth proportional to 637.92, 960.84 and 468 is: 704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.92 : 960.84 = 468 : x
  2. Step 2: Convert to fraction form
    637.92/960.84 = 468/x
  3. Step 3: Cross multiply
    637.92x = 960.84 × 468
  4. Step 4: Simplify right side
    637.92x = 449,673.12
  5. Step 5: Solve for x
    x = 449,673.12/637.92
  6. Step 6: Final answer
    x = 704.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.