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Finding the Fourth Proportional to 471, 649.34 and 313.64

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Solution

The fourth proportional to 471, 649.34 and 313.64 is: 432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471 : 649.34 = 313.64 : x
  2. Step 2: Convert to fraction form
    471/649.34 = 313.64/x
  3. Step 3: Cross multiply
    471x = 649.34 × 313.64
  4. Step 4: Simplify right side
    471x = 203,659.00
  5. Step 5: Solve for x
    x = 203,659.00/471
  6. Step 6: Final answer
    x = 432.40

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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.