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Finding the Fourth Proportional to 364.32, 502.77 and 209.07

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Solution

The fourth proportional to 364.32, 502.77 and 209.07 is: 288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.32 : 502.77 = 209.07 : x
  2. Step 2: Convert to fraction form
    364.32/502.77 = 209.07/x
  3. Step 3: Cross multiply
    364.32x = 502.77 × 209.07
  4. Step 4: Simplify right side
    364.32x = 105,114.12
  5. Step 5: Solve for x
    x = 105,114.12/364.32
  6. Step 6: Final answer
    x = 288.52

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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.