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Finding the Fourth Proportional to 364.80, 503.40 and 209.52

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Solution

The fourth proportional to 364.80, 503.40 and 209.52 is: 289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.80 : 503.40 = 209.52 : x
  2. Step 2: Convert to fraction form
    364.80/503.40 = 209.52/x
  3. Step 3: Cross multiply
    364.80x = 503.40 × 209.52
  4. Step 4: Simplify right side
    364.80x = 105,472.37
  5. Step 5: Solve for x
    x = 105,472.37/364.80
  6. Step 6: Final answer
    x = 289.12

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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.