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Finding the Fourth Proportional to 644.98, 890.15 and 365.30

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Solution

The fourth proportional to 644.98, 890.15 and 365.30 is: 504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.98 : 890.15 = 365.30 : x
  2. Step 2: Convert to fraction form
    644.98/890.15 = 365.30/x
  3. Step 3: Cross multiply
    644.98x = 890.15 × 365.30
  4. Step 4: Simplify right side
    644.98x = 325,171.80
  5. Step 5: Solve for x
    x = 325,171.80/644.98
  6. Step 6: Final answer
    x = 504.16

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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.