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Finding the Fourth Proportional to 486.64, 671.40 and 311.96

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Solution

The fourth proportional to 486.64, 671.40 and 311.96 is: 430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.64 : 671.40 = 311.96 : x
  2. Step 2: Convert to fraction form
    486.64/671.40 = 311.96/x
  3. Step 3: Cross multiply
    486.64x = 671.40 × 311.96
  4. Step 4: Simplify right side
    486.64x = 209,449.94
  5. Step 5: Solve for x
    x = 209,449.94/486.64
  6. Step 6: Final answer
    x = 430.40

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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.