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Finding the Fourth Proportional to 563.41, 845.16 and 198.07

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Solution

The fourth proportional to 563.41, 845.16 and 198.07 is: 297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.41 : 845.16 = 198.07 : x
  2. Step 2: Convert to fraction form
    563.41/845.16 = 198.07/x
  3. Step 3: Cross multiply
    563.41x = 845.16 × 198.07
  4. Step 4: Simplify right side
    563.41x = 167,400.84
  5. Step 5: Solve for x
    x = 167,400.84/563.41
  6. Step 6: Final answer
    x = 297.12

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Double scale
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Similar ratio
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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.