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Finding the Fourth Proportional to 497.34, 744.13 and 446.81

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Solution

The fourth proportional to 497.34, 744.13 and 446.81 is: 668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.34 : 744.13 = 446.81 : x
  2. Step 2: Convert to fraction form
    497.34/744.13 = 446.81/x
  3. Step 3: Cross multiply
    497.34x = 744.13 × 446.81
  4. Step 4: Simplify right side
    497.34x = 332,486.59
  5. Step 5: Solve for x
    x = 332,486.59/497.34
  6. Step 6: Final answer
    x = 668.53

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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.