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Finding the Fourth Proportional to 638.90, 957.73 and 313.91

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Solution

The fourth proportional to 638.90, 957.73 and 313.91 is: 470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.90 : 957.73 = 313.91 : x
  2. Step 2: Convert to fraction form
    638.90/957.73 = 313.91/x
  3. Step 3: Cross multiply
    638.90x = 957.73 × 313.91
  4. Step 4: Simplify right side
    638.90x = 300,641.02
  5. Step 5: Solve for x
    x = 300,641.02/638.90
  6. Step 6: Final answer
    x = 470.56

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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.