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Finding the Fourth Proportional to 514.88, 771.60 and 378.48

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Solution

The fourth proportional to 514.88, 771.60 and 378.48 is: 567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.88 : 771.60 = 378.48 : x
  2. Step 2: Convert to fraction form
    514.88/771.60 = 378.48/x
  3. Step 3: Cross multiply
    514.88x = 771.60 × 378.48
  4. Step 4: Simplify right side
    514.88x = 292,035.17
  5. Step 5: Solve for x
    x = 292,035.17/514.88
  6. Step 6: Final answer
    x = 567.19

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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.