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Finding the Fourth Proportional to 381.60, 568.80 and 345.60

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Solution

The fourth proportional to 381.60, 568.80 and 345.60 is: 515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.60 : 568.80 = 345.60 : x
  2. Step 2: Convert to fraction form
    381.60/568.80 = 345.60/x
  3. Step 3: Cross multiply
    381.60x = 568.80 × 345.60
  4. Step 4: Simplify right side
    381.60x = 196,577.28
  5. Step 5: Solve for x
    x = 196,577.28/381.60
  6. Step 6: Final answer
    x = 515.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.