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Finding the Fourth Proportional to 419.07, 628.76 and 199.77

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Solution

The fourth proportional to 419.07, 628.76 and 199.77 is: 299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.07 : 628.76 = 199.77 : x
  2. Step 2: Convert to fraction form
    419.07/628.76 = 199.77/x
  3. Step 3: Cross multiply
    419.07x = 628.76 × 199.77
  4. Step 4: Simplify right side
    419.07x = 125,605.53
  5. Step 5: Solve for x
    x = 125,605.53/419.07
  6. Step 6: Final answer
    x = 299.72

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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.