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Finding the Fourth Proportional to 563.83, 846.05 and 198.72

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Solution

The fourth proportional to 563.83, 846.05 and 198.72 is: 298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.83 : 846.05 = 198.72 : x
  2. Step 2: Convert to fraction form
    563.83/846.05 = 198.72/x
  3. Step 3: Cross multiply
    563.83x = 846.05 × 198.72
  4. Step 4: Simplify right side
    563.83x = 168,126.06
  5. Step 5: Solve for x
    x = 168,126.06/563.83
  6. Step 6: Final answer
    x = 298.19

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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.