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Finding the Fourth Proportional to 332.79, 459.23 and 201.77

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Solution

The fourth proportional to 332.79, 459.23 and 201.77 is: 278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.79 : 459.23 = 201.77 : x
  2. Step 2: Convert to fraction form
    332.79/459.23 = 201.77/x
  3. Step 3: Cross multiply
    332.79x = 459.23 × 201.77
  4. Step 4: Simplify right side
    332.79x = 92,657.25
  5. Step 5: Solve for x
    x = 92,657.25/332.79
  6. Step 6: Final answer
    x = 278.43

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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.