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Finding the Fourth Proportional to 638.16, 957.84 and 313.76

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Solution

The fourth proportional to 638.16, 957.84 and 313.76 is: 470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.16 : 957.84 = 313.76 : x
  2. Step 2: Convert to fraction form
    638.16/957.84 = 313.76/x
  3. Step 3: Cross multiply
    638.16x = 957.84 × 313.76
  4. Step 4: Simplify right side
    638.16x = 300,531.88
  5. Step 5: Solve for x
    x = 300,531.88/638.16
  6. Step 6: Final answer
    x = 470.93

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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.