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Finding the Fourth Proportional to 644.84, 889.84 and 470.92

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Solution

The fourth proportional to 644.84, 889.84 and 470.92 is: 649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.84 : 889.84 = 470.92 : x
  2. Step 2: Convert to fraction form
    644.84/889.84 = 470.92/x
  3. Step 3: Cross multiply
    644.84x = 889.84 × 470.92
  4. Step 4: Simplify right side
    644.84x = 419,043.45
  5. Step 5: Solve for x
    x = 419,043.45/644.84
  6. Step 6: Final answer
    x = 649.84

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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.