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Finding the Fourth Proportional to 364.88, 503.54 and 209.63

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Solution

The fourth proportional to 364.88, 503.54 and 209.63 is: 289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.88 : 503.54 = 209.63 : x
  2. Step 2: Convert to fraction form
    364.88/503.54 = 209.63/x
  3. Step 3: Cross multiply
    364.88x = 503.54 × 209.63
  4. Step 4: Simplify right side
    364.88x = 105,553.52
  5. Step 5: Solve for x
    x = 105,553.52/364.88
  6. Step 6: Final answer
    x = 289.29

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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.