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Finding the Fourth Proportional to 496.46, 744.08 and 313.45

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Solution

The fourth proportional to 496.46, 744.08 and 313.45 is: 469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.46 : 744.08 = 313.45 : x
  2. Step 2: Convert to fraction form
    496.46/744.08 = 313.45/x
  3. Step 3: Cross multiply
    496.46x = 744.08 × 313.45
  4. Step 4: Simplify right side
    496.46x = 233,228.45
  5. Step 5: Solve for x
    x = 233,228.45/496.46
  6. Step 6: Final answer
    x = 469.78

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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.