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Finding the Fourth Proportional to 364.32, 502.82 and 209.08

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Solution

The fourth proportional to 364.32, 502.82 and 209.08 is: 288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.32 : 502.82 = 209.08 : x
  2. Step 2: Convert to fraction form
    364.32/502.82 = 209.08/x
  3. Step 3: Cross multiply
    364.32x = 502.82 × 209.08
  4. Step 4: Simplify right side
    364.32x = 105,129.61
  5. Step 5: Solve for x
    x = 105,129.61/364.32
  6. Step 6: Final answer
    x = 288.56

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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.