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Finding the Fourth Proportional to 419.45, 628.92 and 175.76

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Solution

The fourth proportional to 419.45, 628.92 and 175.76 is: 263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.45 : 628.92 = 175.76 : x
  2. Step 2: Convert to fraction form
    419.45/628.92 = 175.76/x
  3. Step 3: Cross multiply
    419.45x = 628.92 × 175.76
  4. Step 4: Simplify right side
    419.45x = 110,538.98
  5. Step 5: Solve for x
    x = 110,538.98/419.45
  6. Step 6: Final answer
    x = 263.53

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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.