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Finding the Fourth Proportional to 644.96, 890.00 and 365.16

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Solution

The fourth proportional to 644.96, 890.00 and 365.16 is: 503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.96 : 890.00 = 365.16 : x
  2. Step 2: Convert to fraction form
    644.96/890.00 = 365.16/x
  3. Step 3: Cross multiply
    644.96x = 890.00 × 365.16
  4. Step 4: Simplify right side
    644.96x = 324,990.57
  5. Step 5: Solve for x
    x = 324,990.57/644.96
  6. Step 6: Final answer
    x = 503.90

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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.