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Finding the Fourth Proportional to 471.10, 649.48 and 313.75

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Solution

The fourth proportional to 471.10, 649.48 and 313.75 is: 432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.10 : 649.48 = 313.75 : x
  2. Step 2: Convert to fraction form
    471.10/649.48 = 313.75/x
  3. Step 3: Cross multiply
    471.10x = 649.48 × 313.75
  4. Step 4: Simplify right side
    471.10x = 203,774.35
  5. Step 5: Solve for x
    x = 203,774.35/471.10
  6. Step 6: Final answer
    x = 432.55

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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.