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Finding the Fourth Proportional to 644.19, 889.00 and 360.64

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Solution

The fourth proportional to 644.19, 889.00 and 360.64 is: 497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.19 : 889.00 = 360.64 : x
  2. Step 2: Convert to fraction form
    644.19/889.00 = 360.64/x
  3. Step 3: Cross multiply
    644.19x = 889.00 × 360.64
  4. Step 4: Simplify right side
    644.19x = 320,607.16
  5. Step 5: Solve for x
    x = 320,607.16/644.19
  6. Step 6: Final answer
    x = 497.69

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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.