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Finding the Fourth Proportional to 453.96, 681.18 and 237.57

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Solution

The fourth proportional to 453.96, 681.18 and 237.57 is: 356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.96 : 681.18 = 237.57 : x
  2. Step 2: Convert to fraction form
    453.96/681.18 = 237.57/x
  3. Step 3: Cross multiply
    453.96x = 681.18 × 237.57
  4. Step 4: Simplify right side
    453.96x = 161,827.93
  5. Step 5: Solve for x
    x = 161,827.93/453.96
  6. Step 6: Final answer
    x = 356.48

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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.