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Finding the Fourth Proportional to 644.12, 889.06 and 382.28

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Solution

The fourth proportional to 644.12, 889.06 and 382.28 is: 527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.12 : 889.06 = 382.28 : x
  2. Step 2: Convert to fraction form
    644.12/889.06 = 382.28/x
  3. Step 3: Cross multiply
    644.12x = 889.06 × 382.28
  4. Step 4: Simplify right side
    644.12x = 339,869.86
  5. Step 5: Solve for x
    x = 339,869.86/644.12
  6. Step 6: Final answer
    x = 527.65

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1.5x scale

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.