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Finding the Fourth Proportional to 564.45, 846.78 and 199.14

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Solution

The fourth proportional to 564.45, 846.78 and 199.14 is: 298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.45 : 846.78 = 199.14 : x
  2. Step 2: Convert to fraction form
    564.45/846.78 = 199.14/x
  3. Step 3: Cross multiply
    564.45x = 846.78 × 199.14
  4. Step 4: Simplify right side
    564.45x = 168,627.77
  5. Step 5: Solve for x
    x = 168,627.77/564.45
  6. Step 6: Final answer
    x = 298.75

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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.