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Finding the Fourth Proportional to 482.46, 662.31 and 470.38

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Solution

The fourth proportional to 482.46, 662.31 and 470.38 is: 645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.46 : 662.31 = 470.38 : x
  2. Step 2: Convert to fraction form
    482.46/662.31 = 470.38/x
  3. Step 3: Cross multiply
    482.46x = 662.31 × 470.38
  4. Step 4: Simplify right side
    482.46x = 311,535.03
  5. Step 5: Solve for x
    x = 311,535.03/482.46
  6. Step 6: Final answer
    x = 645.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.