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Finding the Fourth Proportional to 658.10, 985.65 and 332.75

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Solution

The fourth proportional to 658.10, 985.65 and 332.75 is: 498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.10 : 985.65 = 332.75 : x
  2. Step 2: Convert to fraction form
    658.10/985.65 = 332.75/x
  3. Step 3: Cross multiply
    658.10x = 985.65 × 332.75
  4. Step 4: Simplify right side
    658.10x = 327,975.04
  5. Step 5: Solve for x
    x = 327,975.04/658.10
  6. Step 6: Final answer
    x = 498.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.