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Finding the Fourth Proportional to 645.24, 889.98 and 437.88

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Solution

The fourth proportional to 645.24, 889.98 and 437.88 is: 603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.24 : 889.98 = 437.88 : x
  2. Step 2: Convert to fraction form
    645.24/889.98 = 437.88/x
  3. Step 3: Cross multiply
    645.24x = 889.98 × 437.88
  4. Step 4: Simplify right side
    645.24x = 389,704.44
  5. Step 5: Solve for x
    x = 389,704.44/645.24
  6. Step 6: Final answer
    x = 603.97

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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.