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Finding the Fourth Proportional to 644.91, 890.10 and 365.14

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Solution

The fourth proportional to 644.91, 890.10 and 365.14 is: 503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.91 : 890.10 = 365.14 : x
  2. Step 2: Convert to fraction form
    644.91/890.10 = 365.14/x
  3. Step 3: Cross multiply
    644.91x = 890.10 × 365.14
  4. Step 4: Simplify right side
    644.91x = 325,011.11
  5. Step 5: Solve for x
    x = 325,011.11/644.91
  6. Step 6: Final answer
    x = 503.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.