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Finding the Fourth Proportional to 332.65, 459.11 and 208.41

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Solution

The fourth proportional to 332.65, 459.11 and 208.41 is: 287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.65 : 459.11 = 208.41 : x
  2. Step 2: Convert to fraction form
    332.65/459.11 = 208.41/x
  3. Step 3: Cross multiply
    332.65x = 459.11 × 208.41
  4. Step 4: Simplify right side
    332.65x = 95,683.91
  5. Step 5: Solve for x
    x = 95,683.91/332.65
  6. Step 6: Final answer
    x = 287.65

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