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Finding the Fourth Proportional to 637.08, 956.46 and 329.14

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Solution

The fourth proportional to 637.08, 956.46 and 329.14 is: 494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.08 : 956.46 = 329.14 : x
  2. Step 2: Convert to fraction form
    637.08/956.46 = 329.14/x
  3. Step 3: Cross multiply
    637.08x = 956.46 × 329.14
  4. Step 4: Simplify right side
    637.08x = 314,809.24
  5. Step 5: Solve for x
    x = 314,809.24/637.08
  6. Step 6: Final answer
    x = 494.14

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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.