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Finding the Fourth Proportional to 332.53, 458.59 and 208.20

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Solution

The fourth proportional to 332.53, 458.59 and 208.20 is: 287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.53 : 458.59 = 208.20 : x
  2. Step 2: Convert to fraction form
    332.53/458.59 = 208.20/x
  3. Step 3: Cross multiply
    332.53x = 458.59 × 208.20
  4. Step 4: Simplify right side
    332.53x = 95,478.44
  5. Step 5: Solve for x
    x = 95,478.44/332.53
  6. Step 6: Final answer
    x = 287.13

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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.