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Finding the Fourth Proportional to 438.72, 605.49 and 364.91

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Solution

The fourth proportional to 438.72, 605.49 and 364.91 is: 503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.72 : 605.49 = 364.91 : x
  2. Step 2: Convert to fraction form
    438.72/605.49 = 364.91/x
  3. Step 3: Cross multiply
    438.72x = 605.49 × 364.91
  4. Step 4: Simplify right side
    438.72x = 220,949.36
  5. Step 5: Solve for x
    x = 220,949.36/438.72
  6. Step 6: Final answer
    x = 503.62

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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.