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Finding the Fourth Proportional to 470.87, 649.74 and 261.03

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Solution

The fourth proportional to 470.87, 649.74 and 261.03 is: 360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.87 : 649.74 = 261.03 : x
  2. Step 2: Convert to fraction form
    470.87/649.74 = 261.03/x
  3. Step 3: Cross multiply
    470.87x = 649.74 × 261.03
  4. Step 4: Simplify right side
    470.87x = 169,603.09
  5. Step 5: Solve for x
    x = 169,603.09/470.87
  6. Step 6: Final answer
    x = 360.19

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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.