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Finding the Fourth Proportional to 496.17, 743.17 and 313.11

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Solution

The fourth proportional to 496.17, 743.17 and 313.11 is: 468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.17 : 743.17 = 313.11 : x
  2. Step 2: Convert to fraction form
    496.17/743.17 = 313.11/x
  3. Step 3: Cross multiply
    496.17x = 743.17 × 313.11
  4. Step 4: Simplify right side
    496.17x = 232,693.96
  5. Step 5: Solve for x
    x = 232,693.96/496.17
  6. Step 6: Final answer
    x = 468.98

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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.