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Finding the Fourth Proportional to 470.49, 649.13 and 304.44

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Solution

The fourth proportional to 470.49, 649.13 and 304.44 is: 420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.49 : 649.13 = 304.44 : x
  2. Step 2: Convert to fraction form
    470.49/649.13 = 304.44/x
  3. Step 3: Cross multiply
    470.49x = 649.13 × 304.44
  4. Step 4: Simplify right side
    470.49x = 197,618.89
  5. Step 5: Solve for x
    x = 197,618.89/470.49
  6. Step 6: Final answer
    x = 420.03

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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.