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Finding the Fourth Proportional to 364.75, 503.39 and 209.53

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Solution

The fourth proportional to 364.75, 503.39 and 209.53 is: 289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.75 : 503.39 = 209.53 : x
  2. Step 2: Convert to fraction form
    364.75/503.39 = 209.53/x
  3. Step 3: Cross multiply
    364.75x = 503.39 × 209.53
  4. Step 4: Simplify right side
    364.75x = 105,474.26
  5. Step 5: Solve for x
    x = 105,474.26/364.75
  6. Step 6: Final answer
    x = 289.17

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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.