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Finding the Fourth Proportional to 332.69, 458.96 and 206.60

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Solution

The fourth proportional to 332.69, 458.96 and 206.60 is: 285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.69 : 458.96 = 206.60 : x
  2. Step 2: Convert to fraction form
    332.69/458.96 = 206.60/x
  3. Step 3: Cross multiply
    332.69x = 458.96 × 206.60
  4. Step 4: Simplify right side
    332.69x = 94,821.25
  5. Step 5: Solve for x
    x = 94,821.25/332.69
  6. Step 6: Final answer
    x = 285.01

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Why These Related Problems?

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