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Finding the Fourth Proportional to 470.46, 649.21 and 257.73

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Solution

The fourth proportional to 470.46, 649.21 and 257.73 is: 355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.46 : 649.21 = 257.73 : x
  2. Step 2: Convert to fraction form
    470.46/649.21 = 257.73/x
  3. Step 3: Cross multiply
    470.46x = 649.21 × 257.73
  4. Step 4: Simplify right side
    470.46x = 167,319.60
  5. Step 5: Solve for x
    x = 167,319.60/470.46
  6. Step 6: Final answer
    x = 355.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.