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Finding the Fourth Proportional to 497.66, 746.75 and 361.83

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Solution

The fourth proportional to 497.66, 746.75 and 361.83 is: 542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.66 : 746.75 = 361.83 : x
  2. Step 2: Convert to fraction form
    497.66/746.75 = 361.83/x
  3. Step 3: Cross multiply
    497.66x = 746.75 × 361.83
  4. Step 4: Simplify right side
    497.66x = 270,191.01
  5. Step 5: Solve for x
    x = 270,191.01/497.66
  6. Step 6: Final answer
    x = 542.93

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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.