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Finding the Fourth Proportional to 364.92, 503.64 and 209.67

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Solution

The fourth proportional to 364.92, 503.64 and 209.67 is: 289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.92 : 503.64 = 209.67 : x
  2. Step 2: Convert to fraction form
    364.92/503.64 = 209.67/x
  3. Step 3: Cross multiply
    364.92x = 503.64 × 209.67
  4. Step 4: Simplify right side
    364.92x = 105,598.20
  5. Step 5: Solve for x
    x = 105,598.20/364.92
  6. Step 6: Final answer
    x = 289.37

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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.