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Finding the Fourth Proportional to 648.72, 896.00 and 428.67

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Solution

The fourth proportional to 648.72, 896.00 and 428.67 is: 592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.72 : 896.00 = 428.67 : x
  2. Step 2: Convert to fraction form
    648.72/896.00 = 428.67/x
  3. Step 3: Cross multiply
    648.72x = 896.00 × 428.67
  4. Step 4: Simplify right side
    648.72x = 384,086.18
  5. Step 5: Solve for x
    x = 384,086.18/648.72
  6. Step 6: Final answer
    x = 592.07

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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.