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Finding the Fourth Proportional to 637.68, 956.64 and 329.68

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Solution

The fourth proportional to 637.68, 956.64 and 329.68 is: 494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.68 : 956.64 = 329.68 : x
  2. Step 2: Convert to fraction form
    637.68/956.64 = 329.68/x
  3. Step 3: Cross multiply
    637.68x = 956.64 × 329.68
  4. Step 4: Simplify right side
    637.68x = 315,385.08
  5. Step 5: Solve for x
    x = 315,385.08/637.68
  6. Step 6: Final answer
    x = 494.58

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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.