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Finding the Fourth Proportional to 637.68, 956.36 and 329.16

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Solution

The fourth proportional to 637.68, 956.36 and 329.16 is: 493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.68 : 956.36 = 329.16 : x
  2. Step 2: Convert to fraction form
    637.68/956.36 = 329.16/x
  3. Step 3: Cross multiply
    637.68x = 956.36 × 329.16
  4. Step 4: Simplify right side
    637.68x = 314,795.46
  5. Step 5: Solve for x
    x = 314,795.46/637.68
  6. Step 6: Final answer
    x = 493.66

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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.