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Finding the Fourth Proportional to 564.68, 846.81 and 199.37

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Solution

The fourth proportional to 564.68, 846.81 and 199.37 is: 298.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.68 : 846.81 = 199.37 : x
  2. Step 2: Convert to fraction form
    564.68/846.81 = 199.37/x
  3. Step 3: Cross multiply
    564.68x = 846.81 × 199.37
  4. Step 4: Simplify right side
    564.68x = 168,828.51
  5. Step 5: Solve for x
    x = 168,828.51/564.68
  6. Step 6: Final answer
    x = 298.98

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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.