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Finding the Fourth Proportional to 564.57, 846.75 and 199.36

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Solution

The fourth proportional to 564.57, 846.75 and 199.36 is: 299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.57 : 846.75 = 199.36 : x
  2. Step 2: Convert to fraction form
    564.57/846.75 = 199.36/x
  3. Step 3: Cross multiply
    564.57x = 846.75 × 199.36
  4. Step 4: Simplify right side
    564.57x = 168,809.89
  5. Step 5: Solve for x
    x = 168,809.89/564.57
  6. Step 6: Final answer
    x = 299.01

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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.