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Finding the Fourth Proportional to 421.05, 630.96 and 369.57

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Solution

The fourth proportional to 421.05, 630.96 and 369.57 is: 553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.05 : 630.96 = 369.57 : x
  2. Step 2: Convert to fraction form
    421.05/630.96 = 369.57/x
  3. Step 3: Cross multiply
    421.05x = 630.96 × 369.57
  4. Step 4: Simplify right side
    421.05x = 233,183.89
  5. Step 5: Solve for x
    x = 233,183.89/421.05
  6. Step 6: Final answer
    x = 553.82

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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.