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Finding the Fourth Proportional to 453.96, 679.86 and 362.52

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Solution

The fourth proportional to 453.96, 679.86 and 362.52 is: 542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.96 : 679.86 = 362.52 : x
  2. Step 2: Convert to fraction form
    453.96/679.86 = 362.52/x
  3. Step 3: Cross multiply
    453.96x = 679.86 × 362.52
  4. Step 4: Simplify right side
    453.96x = 246,462.85
  5. Step 5: Solve for x
    x = 246,462.85/453.96
  6. Step 6: Final answer
    x = 542.92

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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.