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Finding the Fourth Proportional to 364.52, 503.02 and 209.26

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Solution

The fourth proportional to 364.52, 503.02 and 209.26 is: 288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.52 : 503.02 = 209.26 : x
  2. Step 2: Convert to fraction form
    364.52/503.02 = 209.26/x
  3. Step 3: Cross multiply
    364.52x = 503.02 × 209.26
  4. Step 4: Simplify right side
    364.52x = 105,261.97
  5. Step 5: Solve for x
    x = 105,261.97/364.52
  6. Step 6: Final answer
    x = 288.77

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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.