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Finding the Fourth Proportional to 470.98, 649.96 and 284.54

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Solution

The fourth proportional to 470.98, 649.96 and 284.54 is: 392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.98 : 649.96 = 284.54 : x
  2. Step 2: Convert to fraction form
    470.98/649.96 = 284.54/x
  3. Step 3: Cross multiply
    470.98x = 649.96 × 284.54
  4. Step 4: Simplify right side
    470.98x = 184,939.62
  5. Step 5: Solve for x
    x = 184,939.62/470.98
  6. Step 6: Final answer
    x = 392.67

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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.