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Finding the Fourth Proportional to 497.29, 746.31 and 253.57

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Solution

The fourth proportional to 497.29, 746.31 and 253.57 is: 380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.29 : 746.31 = 253.57 : x
  2. Step 2: Convert to fraction form
    497.29/746.31 = 253.57/x
  3. Step 3: Cross multiply
    497.29x = 746.31 × 253.57
  4. Step 4: Simplify right side
    497.29x = 189,241.83
  5. Step 5: Solve for x
    x = 189,241.83/497.29
  6. Step 6: Final answer
    x = 380.55

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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.