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Finding the Fourth Proportional to 644.75, 890.03 and 458.27

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Solution

The fourth proportional to 644.75, 890.03 and 458.27 is: 632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.75 : 890.03 = 458.27 : x
  2. Step 2: Convert to fraction form
    644.75/890.03 = 458.27/x
  3. Step 3: Cross multiply
    644.75x = 890.03 × 458.27
  4. Step 4: Simplify right side
    644.75x = 407,871.76
  5. Step 5: Solve for x
    x = 407,871.76/644.75
  6. Step 6: Final answer
    x = 632.60

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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.