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Finding the Fourth Proportional to 564.40, 846.46 and 381.75

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Solution

The fourth proportional to 564.40, 846.46 and 381.75 is: 572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.40 : 846.46 = 381.75 : x
  2. Step 2: Convert to fraction form
    564.40/846.46 = 381.75/x
  3. Step 3: Cross multiply
    564.40x = 846.46 × 381.75
  4. Step 4: Simplify right side
    564.40x = 323,136.11
  5. Step 5: Solve for x
    x = 323,136.11/564.40
  6. Step 6: Final answer
    x = 572.53

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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.