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Finding the Fourth Proportional to 496.63, 746.09 and 312.11

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Solution

The fourth proportional to 496.63, 746.09 and 312.11 is: 468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.63 : 746.09 = 312.11 : x
  2. Step 2: Convert to fraction form
    496.63/746.09 = 312.11/x
  3. Step 3: Cross multiply
    496.63x = 746.09 × 312.11
  4. Step 4: Simplify right side
    496.63x = 232,862.58
  5. Step 5: Solve for x
    x = 232,862.58/496.63
  6. Step 6: Final answer
    x = 468.88

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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.