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Finding the Fourth Proportional to 364.38, 502.84 and 209.13

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Solution

The fourth proportional to 364.38, 502.84 and 209.13 is: 288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.38 : 502.84 = 209.13 : x
  2. Step 2: Convert to fraction form
    364.38/502.84 = 209.13/x
  3. Step 3: Cross multiply
    364.38x = 502.84 × 209.13
  4. Step 4: Simplify right side
    364.38x = 105,158.93
  5. Step 5: Solve for x
    x = 105,158.93/364.38
  6. Step 6: Final answer
    x = 288.60

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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.