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Finding the Fourth Proportional to 637.70, 956.23 and 204.80

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Solution

The fourth proportional to 637.70, 956.23 and 204.80 is: 307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.70 : 956.23 = 204.80 : x
  2. Step 2: Convert to fraction form
    637.70/956.23 = 204.80/x
  3. Step 3: Cross multiply
    637.70x = 956.23 × 204.80
  4. Step 4: Simplify right side
    637.70x = 195,835.90
  5. Step 5: Solve for x
    x = 195,835.90/637.70
  6. Step 6: Final answer
    x = 307.10

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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.