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Finding the Fourth Proportional to 531.02, 796.08 and 376.46

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Solution

The fourth proportional to 531.02, 796.08 and 376.46 is: 564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.02 : 796.08 = 376.46 : x
  2. Step 2: Convert to fraction form
    531.02/796.08 = 376.46/x
  3. Step 3: Cross multiply
    531.02x = 796.08 × 376.46
  4. Step 4: Simplify right side
    531.02x = 299,692.28
  5. Step 5: Solve for x
    x = 299,692.28/531.02
  6. Step 6: Final answer
    x = 564.37

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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.