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Finding the Fourth Proportional to 470.36, 649.14 and 304.64

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Solution

The fourth proportional to 470.36, 649.14 and 304.64 is: 420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.36 : 649.14 = 304.64 : x
  2. Step 2: Convert to fraction form
    470.36/649.14 = 304.64/x
  3. Step 3: Cross multiply
    470.36x = 649.14 × 304.64
  4. Step 4: Simplify right side
    470.36x = 197,754.01
  5. Step 5: Solve for x
    x = 197,754.01/470.36
  6. Step 6: Final answer
    x = 420.43

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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.