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Finding the Fourth Proportional to 422.65, 633.70 and 176.02

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Solution

The fourth proportional to 422.65, 633.70 and 176.02 is: 263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.65 : 633.70 = 176.02 : x
  2. Step 2: Convert to fraction form
    422.65/633.70 = 176.02/x
  3. Step 3: Cross multiply
    422.65x = 633.70 × 176.02
  4. Step 4: Simplify right side
    422.65x = 111,545.46
  5. Step 5: Solve for x
    x = 111,545.46/422.65
  6. Step 6: Final answer
    x = 263.92

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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.