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Finding the Fourth Proportional to 644.93, 890.00 and 382.95

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Solution

The fourth proportional to 644.93, 890.00 and 382.95 is: 528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.93 : 890.00 = 382.95 : x
  2. Step 2: Convert to fraction form
    644.93/890.00 = 382.95/x
  3. Step 3: Cross multiply
    644.93x = 890.00 × 382.95
  4. Step 4: Simplify right side
    644.93x = 340,823.59
  5. Step 5: Solve for x
    x = 340,823.59/644.93
  6. Step 6: Final answer
    x = 528.47

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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.