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Finding the Fourth Proportional to 376.75, 566.50 and 346.68

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Solution

The fourth proportional to 376.75, 566.50 and 346.68 is: 521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.75 : 566.50 = 346.68 : x
  2. Step 2: Convert to fraction form
    376.75/566.50 = 346.68/x
  3. Step 3: Cross multiply
    376.75x = 566.50 × 346.68
  4. Step 4: Simplify right side
    376.75x = 196,394.22
  5. Step 5: Solve for x
    x = 196,394.22/376.75
  6. Step 6: Final answer
    x = 521.29

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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.