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Finding the Fourth Proportional to 364.92, 503.52 and 209.70

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Solution

The fourth proportional to 364.92, 503.52 and 209.70 is: 289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.92 : 503.52 = 209.70 : x
  2. Step 2: Convert to fraction form
    364.92/503.52 = 209.70/x
  3. Step 3: Cross multiply
    364.92x = 503.52 × 209.70
  4. Step 4: Simplify right side
    364.92x = 105,588.14
  5. Step 5: Solve for x
    x = 105,588.14/364.92
  6. Step 6: Final answer
    x = 289.35

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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.