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Finding the Fourth Proportional to 594.84, 892.02 and 378.12

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Solution

The fourth proportional to 594.84, 892.02 and 378.12 is: 567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.84 : 892.02 = 378.12 : x
  2. Step 2: Convert to fraction form
    594.84/892.02 = 378.12/x
  3. Step 3: Cross multiply
    594.84x = 892.02 × 378.12
  4. Step 4: Simplify right side
    594.84x = 337,290.60
  5. Step 5: Solve for x
    x = 337,290.60/594.84
  6. Step 6: Final answer
    x = 567.03

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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.