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Finding the Fourth Proportional to 638.76, 957.48 and 419.52

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Solution

The fourth proportional to 638.76, 957.48 and 419.52 is: 628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.76 : 957.48 = 419.52 : x
  2. Step 2: Convert to fraction form
    638.76/957.48 = 419.52/x
  3. Step 3: Cross multiply
    638.76x = 957.48 × 419.52
  4. Step 4: Simplify right side
    638.76x = 401,682.01
  5. Step 5: Solve for x
    x = 401,682.01/638.76
  6. Step 6: Final answer
    x = 628.85

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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.