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Finding the Fourth Proportional to 332.88, 459.32 and 208.56

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Solution

The fourth proportional to 332.88, 459.32 and 208.56 is: 287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.88 : 459.32 = 208.56 : x
  2. Step 2: Convert to fraction form
    332.88/459.32 = 208.56/x
  3. Step 3: Cross multiply
    332.88x = 459.32 × 208.56
  4. Step 4: Simplify right side
    332.88x = 95,795.78
  5. Step 5: Solve for x
    x = 95,795.78/332.88
  6. Step 6: Final answer
    x = 287.78

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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.