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Finding the Fourth Proportional to 564.96, 846.97 and 200.00

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Solution

The fourth proportional to 564.96, 846.97 and 200.00 is: 299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.96 : 846.97 = 200.00 : x
  2. Step 2: Convert to fraction form
    564.96/846.97 = 200.00/x
  3. Step 3: Cross multiply
    564.96x = 846.97 × 200.00
  4. Step 4: Simplify right side
    564.96x = 169,396.74
  5. Step 5: Solve for x
    x = 169,396.74/564.96
  6. Step 6: Final answer
    x = 299.84

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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.