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Finding the Fourth Proportional to 332.09, 458.16 and 207.70

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Solution

The fourth proportional to 332.09, 458.16 and 207.70 is: 286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.09 : 458.16 = 207.70 : x
  2. Step 2: Convert to fraction form
    332.09/458.16 = 207.70/x
  3. Step 3: Cross multiply
    332.09x = 458.16 × 207.70
  4. Step 4: Simplify right side
    332.09x = 95,157.91
  5. Step 5: Solve for x
    x = 95,157.91/332.09
  6. Step 6: Final answer
    x = 286.54

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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.