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Finding the Fourth Proportional to 332.26, 458.93 and 262.42

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Solution

The fourth proportional to 332.26, 458.93 and 262.42 is: 362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.26 : 458.93 = 262.42 : x
  2. Step 2: Convert to fraction form
    332.26/458.93 = 262.42/x
  3. Step 3: Cross multiply
    332.26x = 458.93 × 262.42
  4. Step 4: Simplify right side
    332.26x = 120,432.41
  5. Step 5: Solve for x
    x = 120,432.41/332.26
  6. Step 6: Final answer
    x = 362.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.