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Finding the Fourth Proportional to 332.72, 459.09 and 208.34

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Solution

The fourth proportional to 332.72, 459.09 and 208.34 is: 287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.72 : 459.09 = 208.34 : x
  2. Step 2: Convert to fraction form
    332.72/459.09 = 208.34/x
  3. Step 3: Cross multiply
    332.72x = 459.09 × 208.34
  4. Step 4: Simplify right side
    332.72x = 95,646.81
  5. Step 5: Solve for x
    x = 95,646.81/332.72
  6. Step 6: Final answer
    x = 287.47

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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.