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Finding the Fourth Proportional to 564.54, 847.08 and 199.50

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Solution

The fourth proportional to 564.54, 847.08 and 199.50 is: 299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.54 : 847.08 = 199.50 : x
  2. Step 2: Convert to fraction form
    564.54/847.08 = 199.50/x
  3. Step 3: Cross multiply
    564.54x = 847.08 × 199.50
  4. Step 4: Simplify right side
    564.54x = 168,987.23
  5. Step 5: Solve for x
    x = 168,987.23/564.54
  6. Step 6: Final answer
    x = 299.34

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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.