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Finding the Fourth Proportional to 497.97, 747.77 and 306.81

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Solution

The fourth proportional to 497.97, 747.77 and 306.81 is: 460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.97 : 747.77 = 306.81 : x
  2. Step 2: Convert to fraction form
    497.97/747.77 = 306.81/x
  3. Step 3: Cross multiply
    497.97x = 747.77 × 306.81
  4. Step 4: Simplify right side
    497.97x = 229,421.78
  5. Step 5: Solve for x
    x = 229,421.78/497.97
  6. Step 6: Final answer
    x = 460.71

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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.