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Finding the Fourth Proportional to 497.80, 748.32 and 446.68

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Solution

The fourth proportional to 497.80, 748.32 and 446.68 is: 671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.80 : 748.32 = 446.68 : x
  2. Step 2: Convert to fraction form
    497.80/748.32 = 446.68/x
  3. Step 3: Cross multiply
    497.80x = 748.32 × 446.68
  4. Step 4: Simplify right side
    497.80x = 334,259.58
  5. Step 5: Solve for x
    x = 334,259.58/497.80
  6. Step 6: Final answer
    x = 671.47

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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.