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Finding the Fourth Proportional to 470.90, 649.87 and 261.09

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Solution

The fourth proportional to 470.90, 649.87 and 261.09 is: 360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.90 : 649.87 = 261.09 : x
  2. Step 2: Convert to fraction form
    470.90/649.87 = 261.09/x
  3. Step 3: Cross multiply
    470.90x = 649.87 × 261.09
  4. Step 4: Simplify right side
    470.90x = 169,673.91
  5. Step 5: Solve for x
    x = 169,673.91/470.90
  6. Step 6: Final answer
    x = 360.32

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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.