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Finding the Fourth Proportional to 514.47, 771.08 and 270.84

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Solution

The fourth proportional to 514.47, 771.08 and 270.84 is: 405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.47 : 771.08 = 270.84 : x
  2. Step 2: Convert to fraction form
    514.47/771.08 = 270.84/x
  3. Step 3: Cross multiply
    514.47x = 771.08 × 270.84
  4. Step 4: Simplify right side
    514.47x = 208,837.95
  5. Step 5: Solve for x
    x = 208,837.95/514.47
  6. Step 6: Final answer
    x = 405.93

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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.