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Finding the Fourth Proportional to 364.71, 503.20 and 359.23

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Solution

The fourth proportional to 364.71, 503.20 and 359.23 is: 495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.71 : 503.20 = 359.23 : x
  2. Step 2: Convert to fraction form
    364.71/503.20 = 359.23/x
  3. Step 3: Cross multiply
    364.71x = 503.20 × 359.23
  4. Step 4: Simplify right side
    364.71x = 180,764.54
  5. Step 5: Solve for x
    x = 180,764.54/364.71
  6. Step 6: Final answer
    x = 495.64

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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.