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Finding the Fourth Proportional to 332.84, 459.32 and 208.44

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Solution

The fourth proportional to 332.84, 459.32 and 208.44 is: 287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.84 : 459.32 = 208.44 : x
  2. Step 2: Convert to fraction form
    332.84/459.32 = 208.44/x
  3. Step 3: Cross multiply
    332.84x = 459.32 × 208.44
  4. Step 4: Simplify right side
    332.84x = 95,740.66
  5. Step 5: Solve for x
    x = 95,740.66/332.84
  6. Step 6: Final answer
    x = 287.65

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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.