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Finding the Fourth Proportional to 486.46, 671.25 and 312.04

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Solution

The fourth proportional to 486.46, 671.25 and 312.04 is: 430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.46 : 671.25 = 312.04 : x
  2. Step 2: Convert to fraction form
    486.46/671.25 = 312.04/x
  3. Step 3: Cross multiply
    486.46x = 671.25 × 312.04
  4. Step 4: Simplify right side
    486.46x = 209,456.85
  5. Step 5: Solve for x
    x = 209,456.85/486.46
  6. Step 6: Final answer
    x = 430.57

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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.