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Finding the Fourth Proportional to 286.47, 429.14 and 209.60

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Solution

The fourth proportional to 286.47, 429.14 and 209.60 is: 313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.47 : 429.14 = 209.60 : x
  2. Step 2: Convert to fraction form
    286.47/429.14 = 209.60/x
  3. Step 3: Cross multiply
    286.47x = 429.14 × 209.60
  4. Step 4: Simplify right side
    286.47x = 89,944.55
  5. Step 5: Solve for x
    x = 89,944.55/286.47
  6. Step 6: Final answer
    x = 313.98

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Why These Related Problems?

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