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Finding the Fourth Proportional to 638.17, 957.25 and 421.70

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Solution

The fourth proportional to 638.17, 957.25 and 421.70 is: 632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.17 : 957.25 = 421.70 : x
  2. Step 2: Convert to fraction form
    638.17/957.25 = 421.70/x
  3. Step 3: Cross multiply
    638.17x = 957.25 × 421.70
  4. Step 4: Simplify right side
    638.17x = 403,668.07
  5. Step 5: Solve for x
    x = 403,668.07/638.17
  6. Step 6: Final answer
    x = 632.54

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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.