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Finding the Fourth Proportional to 563.55, 845.32 and 289.48

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Solution

The fourth proportional to 563.55, 845.32 and 289.48 is: 434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.55 : 845.32 = 289.48 : x
  2. Step 2: Convert to fraction form
    563.55/845.32 = 289.48/x
  3. Step 3: Cross multiply
    563.55x = 845.32 × 289.48
  4. Step 4: Simplify right side
    563.55x = 244,701.79
  5. Step 5: Solve for x
    x = 244,701.79/563.55
  6. Step 6: Final answer
    x = 434.21

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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.