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Finding the Fourth Proportional to 563.09, 844.56 and 192.92

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Solution

The fourth proportional to 563.09, 844.56 and 192.92 is: 289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.09 : 844.56 = 192.92 : x
  2. Step 2: Convert to fraction form
    563.09/844.56 = 192.92/x
  3. Step 3: Cross multiply
    563.09x = 844.56 × 192.92
  4. Step 4: Simplify right side
    563.09x = 162,928.29
  5. Step 5: Solve for x
    x = 162,928.29/563.09
  6. Step 6: Final answer
    x = 289.35

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1.5x scale

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.