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Finding the Fourth Proportional to 564.09, 846.41 and 369.05

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Solution

The fourth proportional to 564.09, 846.41 and 369.05 is: 553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.09 : 846.41 = 369.05 : x
  2. Step 2: Convert to fraction form
    564.09/846.41 = 369.05/x
  3. Step 3: Cross multiply
    564.09x = 846.41 × 369.05
  4. Step 4: Simplify right side
    564.09x = 312,361.53
  5. Step 5: Solve for x
    x = 312,361.53/564.09
  6. Step 6: Final answer
    x = 553.74

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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.