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Finding the Fourth Proportional to 637.34, 956.00 and 204.39

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Solution

The fourth proportional to 637.34, 956.00 and 204.39 is: 306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.34 : 956.00 = 204.39 : x
  2. Step 2: Convert to fraction form
    637.34/956.00 = 204.39/x
  3. Step 3: Cross multiply
    637.34x = 956.00 × 204.39
  4. Step 4: Simplify right side
    637.34x = 195,397.35
  5. Step 5: Solve for x
    x = 195,397.35/637.34
  6. Step 6: Final answer
    x = 306.59

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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.