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Finding the Fourth Proportional to 514.80, 771.36 and 460.80

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Solution

The fourth proportional to 514.80, 771.36 and 460.80 is: 690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.80 : 771.36 = 460.80 : x
  2. Step 2: Convert to fraction form
    514.80/771.36 = 460.80/x
  3. Step 3: Cross multiply
    514.80x = 771.36 × 460.80
  4. Step 4: Simplify right side
    514.80x = 355,442.69
  5. Step 5: Solve for x
    x = 355,442.69/514.80
  6. Step 6: Final answer
    x = 690.45

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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.