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Finding the Fourth Proportional to 563.95, 845.81 and 152.97

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Solution

The fourth proportional to 563.95, 845.81 and 152.97 is: 229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.95 : 845.81 = 152.97 : x
  2. Step 2: Convert to fraction form
    563.95/845.81 = 152.97/x
  3. Step 3: Cross multiply
    563.95x = 845.81 × 152.97
  4. Step 4: Simplify right side
    563.95x = 129,382.79
  5. Step 5: Solve for x
    x = 129,382.79/563.95
  6. Step 6: Final answer
    x = 229.42

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Why These Related Problems?

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