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Finding the Fourth Proportional to 486.11, 728.50 and 312.68

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Solution

The fourth proportional to 486.11, 728.50 and 312.68 is: 468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.11 : 728.50 = 312.68 : x
  2. Step 2: Convert to fraction form
    486.11/728.50 = 312.68/x
  3. Step 3: Cross multiply
    486.11x = 728.50 × 312.68
  4. Step 4: Simplify right side
    486.11x = 227,787.38
  5. Step 5: Solve for x
    x = 227,787.38/486.11
  6. Step 6: Final answer
    x = 468.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.