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Finding the Fourth Proportional to 470.37, 649.29 and 421.16

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Solution

The fourth proportional to 470.37, 649.29 and 421.16 is: 581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.37 : 649.29 = 421.16 : x
  2. Step 2: Convert to fraction form
    470.37/649.29 = 421.16/x
  3. Step 3: Cross multiply
    470.37x = 649.29 × 421.16
  4. Step 4: Simplify right side
    470.37x = 273,454.98
  5. Step 5: Solve for x
    x = 273,454.98/470.37
  6. Step 6: Final answer
    x = 581.36

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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.