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Finding the Fourth Proportional to 592.94, 889.28 and 563.67

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Solution

The fourth proportional to 592.94, 889.28 and 563.67 is: 845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.94 : 889.28 = 563.67 : x
  2. Step 2: Convert to fraction form
    592.94/889.28 = 563.67/x
  3. Step 3: Cross multiply
    592.94x = 889.28 × 563.67
  4. Step 4: Simplify right side
    592.94x = 501,257.64
  5. Step 5: Solve for x
    x = 501,257.64/592.94
  6. Step 6: Final answer
    x = 845.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.