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Finding the Fourth Proportional to 486.09, 670.32 and 392.76

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Solution

The fourth proportional to 486.09, 670.32 and 392.76 is: 541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.09 : 670.32 = 392.76 : x
  2. Step 2: Convert to fraction form
    486.09/670.32 = 392.76/x
  3. Step 3: Cross multiply
    486.09x = 670.32 × 392.76
  4. Step 4: Simplify right side
    486.09x = 263,274.88
  5. Step 5: Solve for x
    x = 263,274.88/486.09
  6. Step 6: Final answer
    x = 541.62

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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.