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Finding the Fourth Proportional to 645.34, 889.41 and 534.22

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Solution

The fourth proportional to 645.34, 889.41 and 534.22 is: 736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.34 : 889.41 = 534.22 : x
  2. Step 2: Convert to fraction form
    645.34/889.41 = 534.22/x
  3. Step 3: Cross multiply
    645.34x = 889.41 × 534.22
  4. Step 4: Simplify right side
    645.34x = 475,140.61
  5. Step 5: Solve for x
    x = 475,140.61/645.34
  6. Step 6: Final answer
    x = 736.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.