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Finding the Fourth Proportional to 364.24, 502.65 and 206.87

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Solution

The fourth proportional to 364.24, 502.65 and 206.87 is: 285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.24 : 502.65 = 206.87 : x
  2. Step 2: Convert to fraction form
    364.24/502.65 = 206.87/x
  3. Step 3: Cross multiply
    364.24x = 502.65 × 206.87
  4. Step 4: Simplify right side
    364.24x = 103,982.58
  5. Step 5: Solve for x
    x = 103,982.58/364.24
  6. Step 6: Final answer
    x = 285.48

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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.